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Finding the Third Proportional to 134,524 and 288,368

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Solution

The third proportional to 134,524 and 288,368 is: 618,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,524 : 288,368 = 288,368 : x
  2. Step 2: Convert to fraction form
    134,524/288,368 = 288,368/x
  3. Step 3: Cross multiply
    134,524x = 288,368 × 288,368
  4. Step 4: Simplify right side
    134,524x = 83,156,103,424
  5. Step 5: Solve for x
    x = 83,156,103,424/134,524
  6. Step 6: Final answer
    x = 618,150.69

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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.