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Finding the Third Proportional to 110,688.50 and 155,320.50

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Solution

The third proportional to 110,688.50 and 155,320.50 is: 217,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,688.50 : 155,320.50 = 155,320.50 : x
  2. Step 2: Convert to fraction form
    110,688.50/155,320.50 = 155,320.50/x
  3. Step 3: Cross multiply
    110,688.50x = 155,320.50 × 155,320.50
  4. Step 4: Simplify right side
    110,688.50x = 24,124,457,720.25
  5. Step 5: Solve for x
    x = 24,124,457,720.25/110,688.50
  6. Step 6: Final answer
    x = 217,949.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.