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Finding the Third Proportional to 140,899.50 and 291,114

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Solution

The third proportional to 140,899.50 and 291,114 is: 601,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,899.50 : 291,114 = 291,114 : x
  2. Step 2: Convert to fraction form
    140,899.50/291,114 = 291,114/x
  3. Step 3: Cross multiply
    140,899.50x = 291,114 × 291,114
  4. Step 4: Simplify right side
    140,899.50x = 84,747,360,996
  5. Step 5: Solve for x
    x = 84,747,360,996/140,899.50
  6. Step 6: Final answer
    x = 601,473.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.