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Finding the Third Proportional to 249,663.38 and 365,150.81

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Solution

The third proportional to 249,663.38 and 365,150.81 is: 534,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,663.38 : 365,150.81 = 365,150.81 : x
  2. Step 2: Convert to fraction form
    249,663.38/365,150.81 = 365,150.81/x
  3. Step 3: Cross multiply
    249,663.38x = 365,150.81 × 365,150.81
  4. Step 4: Simplify right side
    249,663.38x = 133,335,115,869.41
  5. Step 5: Solve for x
    x = 133,335,115,869.41/249,663.38
  6. Step 6: Final answer
    x = 534,059.57

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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.