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Finding the Third Proportional to 135,853 and 297,950

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Solution

The third proportional to 135,853 and 297,950 is: 653,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,853 : 297,950 = 297,950 : x
  2. Step 2: Convert to fraction form
    135,853/297,950 = 297,950/x
  3. Step 3: Cross multiply
    135,853x = 297,950 × 297,950
  4. Step 4: Simplify right side
    135,853x = 88,774,202,500
  5. Step 5: Solve for x
    x = 88,774,202,500/135,853
  6. Step 6: Final answer
    x = 653,457.80

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Why These Related Problems?

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