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Finding the Third Proportional to 233,902.69 and 505,140.05

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Solution

The third proportional to 233,902.69 and 505,140.05 is: 1,090,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,902.69 : 505,140.05 = 505,140.05 : x
  2. Step 2: Convert to fraction form
    233,902.69/505,140.05 = 505,140.05/x
  3. Step 3: Cross multiply
    233,902.69x = 505,140.05 × 505,140.05
  4. Step 4: Simplify right side
    233,902.69x = 255,166,466,956.88
  5. Step 5: Solve for x
    x = 255,166,466,956.88/233,902.69
  6. Step 6: Final answer
    x = 1,090,908.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.