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Finding the Third Proportional to 249,997 and 387,200

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Solution

The third proportional to 249,997 and 387,200 is: 599,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,997 : 387,200 = 387,200 : x
  2. Step 2: Convert to fraction form
    249,997/387,200 = 387,200/x
  3. Step 3: Cross multiply
    249,997x = 387,200 × 387,200
  4. Step 4: Simplify right side
    249,997x = 149,923,840,000
  5. Step 5: Solve for x
    x = 149,923,840,000/249,997
  6. Step 6: Final answer
    x = 599,702.56

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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.