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Finding the Third Proportional to 129,710 and 278,320

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Solution

The third proportional to 129,710 and 278,320 is: 597,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710 : 278,320 = 278,320 : x
  2. Step 2: Convert to fraction form
    129,710/278,320 = 278,320/x
  3. Step 3: Cross multiply
    129,710x = 278,320 × 278,320
  4. Step 4: Simplify right side
    129,710x = 77,462,022,400
  5. Step 5: Solve for x
    x = 77,462,022,400/129,710
  6. Step 6: Final answer
    x = 597,193.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.