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Finding the Third Proportional to 177,952 and 265,008

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Solution

The third proportional to 177,952 and 265,008 is: 394,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,952 : 265,008 = 265,008 : x
  2. Step 2: Convert to fraction form
    177,952/265,008 = 265,008/x
  3. Step 3: Cross multiply
    177,952x = 265,008 × 265,008
  4. Step 4: Simplify right side
    177,952x = 70,229,240,064
  5. Step 5: Solve for x
    x = 70,229,240,064/177,952
  6. Step 6: Final answer
    x = 394,652.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.