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Finding the Third Proportional to 177,362 and 260,853

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Solution

The third proportional to 177,362 and 260,853 is: 383,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,362 : 260,853 = 260,853 : x
  2. Step 2: Convert to fraction form
    177,362/260,853 = 260,853/x
  3. Step 3: Cross multiply
    177,362x = 260,853 × 260,853
  4. Step 4: Simplify right side
    177,362x = 68,044,287,609
  5. Step 5: Solve for x
    x = 68,044,287,609/177,362
  6. Step 6: Final answer
    x = 383,646.37

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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.