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Finding the Third Proportional to 125,182 and 278,354

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Solution

The third proportional to 125,182 and 278,354 is: 618,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,182 : 278,354 = 278,354 : x
  2. Step 2: Convert to fraction form
    125,182/278,354 = 278,354/x
  3. Step 3: Cross multiply
    125,182x = 278,354 × 278,354
  4. Step 4: Simplify right side
    125,182x = 77,480,949,316
  5. Step 5: Solve for x
    x = 77,480,949,316/125,182
  6. Step 6: Final answer
    x = 618,946.41

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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.