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Finding the Third Proportional to 156,373.50 and 337,065

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Solution

The third proportional to 156,373.50 and 337,065 is: 726,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,373.50 : 337,065 = 337,065 : x
  2. Step 2: Convert to fraction form
    156,373.50/337,065 = 337,065/x
  3. Step 3: Cross multiply
    156,373.50x = 337,065 × 337,065
  4. Step 4: Simplify right side
    156,373.50x = 113,612,814,225
  5. Step 5: Solve for x
    x = 113,612,814,225/156,373.50
  6. Step 6: Final answer
    x = 726,547.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.