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Finding the Third Proportional to 179,451 and 278,658

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Solution

The third proportional to 179,451 and 278,658 is: 432,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,451 : 278,658 = 278,658 : x
  2. Step 2: Convert to fraction form
    179,451/278,658 = 278,658/x
  3. Step 3: Cross multiply
    179,451x = 278,658 × 278,658
  4. Step 4: Simplify right side
    179,451x = 77,650,280,964
  5. Step 5: Solve for x
    x = 77,650,280,964/179,451
  6. Step 6: Final answer
    x = 432,710.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.