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Finding the Third Proportional to 135,621 and 297,077.50

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Solution

The third proportional to 135,621 and 297,077.50 is: 650,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,621 : 297,077.50 = 297,077.50 : x
  2. Step 2: Convert to fraction form
    135,621/297,077.50 = 297,077.50/x
  3. Step 3: Cross multiply
    135,621x = 297,077.50 × 297,077.50
  4. Step 4: Simplify right side
    135,621x = 88,255,041,006.25
  5. Step 5: Solve for x
    x = 88,255,041,006.25/135,621
  6. Step 6: Final answer
    x = 650,747.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.