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Finding the Third Proportional to 177,352 and 260,844

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Solution

The third proportional to 177,352 and 260,844 is: 383,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,352 : 260,844 = 260,844 : x
  2. Step 2: Convert to fraction form
    177,352/260,844 = 260,844/x
  3. Step 3: Cross multiply
    177,352x = 260,844 × 260,844
  4. Step 4: Simplify right side
    177,352x = 68,039,592,336
  5. Step 5: Solve for x
    x = 68,039,592,336/177,352
  6. Step 6: Final answer
    x = 383,641.53

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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.