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Finding the Third Proportional to 151,730 and 218,558

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Solution

The third proportional to 151,730 and 218,558 is: 314,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,730 : 218,558 = 218,558 : x
  2. Step 2: Convert to fraction form
    151,730/218,558 = 218,558/x
  3. Step 3: Cross multiply
    151,730x = 218,558 × 218,558
  4. Step 4: Simplify right side
    151,730x = 47,767,599,364
  5. Step 5: Solve for x
    x = 47,767,599,364/151,730
  6. Step 6: Final answer
    x = 314,819.74

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