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Finding the Third Proportional to 134,949.50 and 288,581.50

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Solution

The third proportional to 134,949.50 and 288,581.50 is: 617,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,949.50 : 288,581.50 = 288,581.50 : x
  2. Step 2: Convert to fraction form
    134,949.50/288,581.50 = 288,581.50/x
  3. Step 3: Cross multiply
    134,949.50x = 288,581.50 × 288,581.50
  4. Step 4: Simplify right side
    134,949.50x = 83,279,282,142.25
  5. Step 5: Solve for x
    x = 83,279,282,142.25/134,949.50
  6. Step 6: Final answer
    x = 617,114.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.