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Finding the Third Proportional to 141,706.13 and 219,404.53

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Solution

The third proportional to 141,706.13 and 219,404.53 is: 339,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,706.13 : 219,404.53 = 219,404.53 : x
  2. Step 2: Convert to fraction form
    141,706.13/219,404.53 = 219,404.53/x
  3. Step 3: Cross multiply
    141,706.13x = 219,404.53 × 219,404.53
  4. Step 4: Simplify right side
    141,706.13x = 48,138,348,333.03
  5. Step 5: Solve for x
    x = 48,138,348,333.03/141,706.13
  6. Step 6: Final answer
    x = 339,705.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.