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Finding the Third Proportional to 71,509.50 and 155,320.50

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Solution

The third proportional to 71,509.50 and 155,320.50 is: 337,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.50 : 155,320.50 = 155,320.50 : x
  2. Step 2: Convert to fraction form
    71,509.50/155,320.50 = 155,320.50/x
  3. Step 3: Cross multiply
    71,509.50x = 155,320.50 × 155,320.50
  4. Step 4: Simplify right side
    71,509.50x = 24,124,457,720.25
  5. Step 5: Solve for x
    x = 24,124,457,720.25/71,509.50
  6. Step 6: Final answer
    x = 337,360.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.