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Finding the Third Proportional to 249,849.56 and 356,086.13

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Solution

The third proportional to 249,849.56 and 356,086.13 is: 507,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,849.56 : 356,086.13 = 356,086.13 : x
  2. Step 2: Convert to fraction form
    249,849.56/356,086.13 = 356,086.13/x
  3. Step 3: Cross multiply
    249,849.56x = 356,086.13 × 356,086.13
  4. Step 4: Simplify right side
    249,849.56x = 126,797,328,417.52
  5. Step 5: Solve for x
    x = 126,797,328,417.52/249,849.56
  6. Step 6: Final answer
    x = 507,494.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.