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Finding the Third Proportional to 249,972.75 and 377,165.25

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Solution

The third proportional to 249,972.75 and 377,165.25 is: 569,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,972.75 : 377,165.25 = 377,165.25 : x
  2. Step 2: Convert to fraction form
    249,972.75/377,165.25 = 377,165.25/x
  3. Step 3: Cross multiply
    249,972.75x = 377,165.25 × 377,165.25
  4. Step 4: Simplify right side
    249,972.75x = 142,253,625,807.56
  5. Step 5: Solve for x
    x = 142,253,625,807.56/249,972.75
  6. Step 6: Final answer
    x = 569,076.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.