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Finding the Third Proportional to 233,487.56 and 341,904.38

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Solution

The third proportional to 233,487.56 and 341,904.38 is: 500,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,487.56 : 341,904.38 = 341,904.38 : x
  2. Step 2: Convert to fraction form
    233,487.56/341,904.38 = 341,904.38/x
  3. Step 3: Cross multiply
    233,487.56x = 341,904.38 × 341,904.38
  4. Step 4: Simplify right side
    233,487.56x = 116,898,601,644.14
  5. Step 5: Solve for x
    x = 116,898,601,644.14/233,487.56
  6. Step 6: Final answer
    x = 500,663.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.