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Finding the Third Proportional to 177,254 and 272,447

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Solution

The third proportional to 177,254 and 272,447 is: 418,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,254 : 272,447 = 272,447 : x
  2. Step 2: Convert to fraction form
    177,254/272,447 = 272,447/x
  3. Step 3: Cross multiply
    177,254x = 272,447 × 272,447
  4. Step 4: Simplify right side
    177,254x = 74,227,367,809
  5. Step 5: Solve for x
    x = 74,227,367,809/177,254
  6. Step 6: Final answer
    x = 418,762.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.