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Finding the Third Proportional to 177,352 and 260,843

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Solution

The third proportional to 177,352 and 260,843 is: 383,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,352 : 260,843 = 260,843 : x
  2. Step 2: Convert to fraction form
    177,352/260,843 = 260,843/x
  3. Step 3: Cross multiply
    177,352x = 260,843 × 260,843
  4. Step 4: Simplify right side
    177,352x = 68,039,070,649
  5. Step 5: Solve for x
    x = 68,039,070,649/177,352
  6. Step 6: Final answer
    x = 383,638.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.