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Finding the Third Proportional to 231,445.69 and 506,145.38

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Solution

The third proportional to 231,445.69 and 506,145.38 is: 1,106,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,445.69 : 506,145.38 = 506,145.38 : x
  2. Step 2: Convert to fraction form
    231,445.69/506,145.38 = 506,145.38/x
  3. Step 3: Cross multiply
    231,445.69x = 506,145.38 × 506,145.38
  4. Step 4: Simplify right side
    231,445.69x = 256,183,140,633.89
  5. Step 5: Solve for x
    x = 256,183,140,633.89/231,445.69
  6. Step 6: Final answer
    x = 1,106,882.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.