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Finding the Third Proportional to 141,564 and 217,290

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Solution

The third proportional to 141,564 and 217,290 is: 333,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,564 : 217,290 = 217,290 : x
  2. Step 2: Convert to fraction form
    141,564/217,290 = 217,290/x
  3. Step 3: Cross multiply
    141,564x = 217,290 × 217,290
  4. Step 4: Simplify right side
    141,564x = 47,214,944,100
  5. Step 5: Solve for x
    x = 47,214,944,100/141,564
  6. Step 6: Final answer
    x = 333,523.66

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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.