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Finding the Third Proportional to 152,671 and 224,566

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Solution

The third proportional to 152,671 and 224,566 is: 330,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,671 : 224,566 = 224,566 : x
  2. Step 2: Convert to fraction form
    152,671/224,566 = 224,566/x
  3. Step 3: Cross multiply
    152,671x = 224,566 × 224,566
  4. Step 4: Simplify right side
    152,671x = 50,429,888,356
  5. Step 5: Solve for x
    x = 50,429,888,356/152,671
  6. Step 6: Final answer
    x = 330,317.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.