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Finding the Third Proportional to 119,542.50 and 260,114.63

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Solution

The third proportional to 119,542.50 and 260,114.63 is: 565,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,542.50 : 260,114.63 = 260,114.63 : x
  2. Step 2: Convert to fraction form
    119,542.50/260,114.63 = 260,114.63/x
  3. Step 3: Cross multiply
    119,542.50x = 260,114.63 × 260,114.63
  4. Step 4: Simplify right side
    119,542.50x = 67,659,618,138.89
  5. Step 5: Solve for x
    x = 67,659,618,138.89/119,542.50
  6. Step 6: Final answer
    x = 565,987.98

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Why These Related Problems?

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