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Finding the Third Proportional to 136,687.50 and 297,907.88

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Solution

The third proportional to 136,687.50 and 297,907.88 is: 649,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,687.50 : 297,907.88 = 297,907.88 : x
  2. Step 2: Convert to fraction form
    136,687.50/297,907.88 = 297,907.88/x
  3. Step 3: Cross multiply
    136,687.50x = 297,907.88 × 297,907.88
  4. Step 4: Simplify right side
    136,687.50x = 88,749,101,987.02
  5. Step 5: Solve for x
    x = 88,749,101,987.02/136,687.50
  6. Step 6: Final answer
    x = 649,284.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.