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Finding the Third Proportional to 114,531.31 and 244,273.38

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Solution

The third proportional to 114,531.31 and 244,273.38 is: 520,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531.31 : 244,273.38 = 244,273.38 : x
  2. Step 2: Convert to fraction form
    114,531.31/244,273.38 = 244,273.38/x
  3. Step 3: Cross multiply
    114,531.31x = 244,273.38 × 244,273.38
  4. Step 4: Simplify right side
    114,531.31x = 59,669,482,688.08
  5. Step 5: Solve for x
    x = 59,669,482,688.08/114,531.31
  6. Step 6: Final answer
    x = 520,988.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.