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Finding the Third Proportional to 141,473 and 217,130

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Solution

The third proportional to 141,473 and 217,130 is: 333,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,473 : 217,130 = 217,130 : x
  2. Step 2: Convert to fraction form
    141,473/217,130 = 217,130/x
  3. Step 3: Cross multiply
    141,473x = 217,130 × 217,130
  4. Step 4: Simplify right side
    141,473x = 47,145,436,900
  5. Step 5: Solve for x
    x = 47,145,436,900/141,473
  6. Step 6: Final answer
    x = 333,246.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.