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Finding the Third Proportional to 178,416 and 260,924

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Solution

The third proportional to 178,416 and 260,924 is: 381,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 260,924 = 260,924 : x
  2. Step 2: Convert to fraction form
    178,416/260,924 = 260,924/x
  3. Step 3: Cross multiply
    178,416x = 260,924 × 260,924
  4. Step 4: Simplify right side
    178,416x = 68,081,333,776
  5. Step 5: Solve for x
    x = 68,081,333,776/178,416
  6. Step 6: Final answer
    x = 381,587.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.