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Finding the Third Proportional to 140,331.31 and 219,885.10

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Solution

The third proportional to 140,331.31 and 219,885.10 is: 344,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,331.31 : 219,885.10 = 219,885.10 : x
  2. Step 2: Convert to fraction form
    140,331.31/219,885.10 = 219,885.10/x
  3. Step 3: Cross multiply
    140,331.31x = 219,885.10 × 219,885.10
  4. Step 4: Simplify right side
    140,331.31x = 48,349,457,030.23
  5. Step 5: Solve for x
    x = 48,349,457,030.23/140,331.31
  6. Step 6: Final answer
    x = 344,537.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.