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Finding the Third Proportional to 191,605.50 and 290,059

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Solution

The third proportional to 191,605.50 and 290,059 is: 439,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,605.50 : 290,059 = 290,059 : x
  2. Step 2: Convert to fraction form
    191,605.50/290,059 = 290,059/x
  3. Step 3: Cross multiply
    191,605.50x = 290,059 × 290,059
  4. Step 4: Simplify right side
    191,605.50x = 84,134,223,481
  5. Step 5: Solve for x
    x = 84,134,223,481/191,605.50
  6. Step 6: Final answer
    x = 439,101.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.