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Finding the Third Proportional to 156,988.13 and 343,318.50

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Solution

The third proportional to 156,988.13 and 343,318.50 is: 750,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988.13 : 343,318.50 = 343,318.50 : x
  2. Step 2: Convert to fraction form
    156,988.13/343,318.50 = 343,318.50/x
  3. Step 3: Cross multiply
    156,988.13x = 343,318.50 × 343,318.50
  4. Step 4: Simplify right side
    156,988.13x = 117,867,592,442.25
  5. Step 5: Solve for x
    x = 117,867,592,442.25/156,988.13
  6. Step 6: Final answer
    x = 750,805.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.