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Finding the Third Proportional to 134,107.50 and 287,686.50

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Solution

The third proportional to 134,107.50 and 287,686.50 is: 617,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,107.50 : 287,686.50 = 287,686.50 : x
  2. Step 2: Convert to fraction form
    134,107.50/287,686.50 = 287,686.50/x
  3. Step 3: Cross multiply
    134,107.50x = 287,686.50 × 287,686.50
  4. Step 4: Simplify right side
    134,107.50x = 82,763,522,282.25
  5. Step 5: Solve for x
    x = 82,763,522,282.25/134,107.50
  6. Step 6: Final answer
    x = 617,143.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.