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Finding the Third Proportional to 146,701.13 and 309,171.94

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Solution

The third proportional to 146,701.13 and 309,171.94 is: 651,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,701.13 : 309,171.94 = 309,171.94 : x
  2. Step 2: Convert to fraction form
    146,701.13/309,171.94 = 309,171.94/x
  3. Step 3: Cross multiply
    146,701.13x = 309,171.94 × 309,171.94
  4. Step 4: Simplify right side
    146,701.13x = 95,587,286,937.50
  5. Step 5: Solve for x
    x = 95,587,286,937.50/146,701.13
  6. Step 6: Final answer
    x = 651,578.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.