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Finding the Third Proportional to 151,718 and 218,534

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Solution

The third proportional to 151,718 and 218,534 is: 314,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,718 : 218,534 = 218,534 : x
  2. Step 2: Convert to fraction form
    151,718/218,534 = 218,534/x
  3. Step 3: Cross multiply
    151,718x = 218,534 × 218,534
  4. Step 4: Simplify right side
    151,718x = 47,757,109,156
  5. Step 5: Solve for x
    x = 47,757,109,156/151,718
  6. Step 6: Final answer
    x = 314,775.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.