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Finding the Third Proportional to 125,182.50 and 278,352

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Solution

The third proportional to 125,182.50 and 278,352 is: 618,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,182.50 : 278,352 = 278,352 : x
  2. Step 2: Convert to fraction form
    125,182.50/278,352 = 278,352/x
  3. Step 3: Cross multiply
    125,182.50x = 278,352 × 278,352
  4. Step 4: Simplify right side
    125,182.50x = 77,479,835,904
  5. Step 5: Solve for x
    x = 77,479,835,904/125,182.50
  6. Step 6: Final answer
    x = 618,935.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.