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Finding the Third Proportional to 136,211.63 and 278,437.50

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Solution

The third proportional to 136,211.63 and 278,437.50 is: 569,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,211.63 : 278,437.50 = 278,437.50 : x
  2. Step 2: Convert to fraction form
    136,211.63/278,437.50 = 278,437.50/x
  3. Step 3: Cross multiply
    136,211.63x = 278,437.50 × 278,437.50
  4. Step 4: Simplify right side
    136,211.63x = 77,527,441,406.25
  5. Step 5: Solve for x
    x = 77,527,441,406.25/136,211.63
  6. Step 6: Final answer
    x = 569,169.05

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.