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Finding the Third Proportional to 134,952 and 288,587

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Solution

The third proportional to 134,952 and 288,587 is: 617,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,952 : 288,587 = 288,587 : x
  2. Step 2: Convert to fraction form
    134,952/288,587 = 288,587/x
  3. Step 3: Cross multiply
    134,952x = 288,587 × 288,587
  4. Step 4: Simplify right side
    134,952x = 83,282,456,569
  5. Step 5: Solve for x
    x = 83,282,456,569/134,952
  6. Step 6: Final answer
    x = 617,126.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.