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Finding the Third Proportional to 249,952.50 and 387,141.75

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Solution

The third proportional to 249,952.50 and 387,141.75 is: 599,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,952.50 : 387,141.75 = 387,141.75 : x
  2. Step 2: Convert to fraction form
    249,952.50/387,141.75 = 387,141.75/x
  3. Step 3: Cross multiply
    249,952.50x = 387,141.75 × 387,141.75
  4. Step 4: Simplify right side
    249,952.50x = 149,878,734,593.06
  5. Step 5: Solve for x
    x = 149,878,734,593.06/249,952.50
  6. Step 6: Final answer
    x = 599,628.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.