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Finding the Third Proportional to 215,027.50 and 341,609

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Solution

The third proportional to 215,027.50 and 341,609 is: 542,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,027.50 : 341,609 = 341,609 : x
  2. Step 2: Convert to fraction form
    215,027.50/341,609 = 341,609/x
  3. Step 3: Cross multiply
    215,027.50x = 341,609 × 341,609
  4. Step 4: Simplify right side
    215,027.50x = 116,696,708,881
  5. Step 5: Solve for x
    x = 116,696,708,881/215,027.50
  6. Step 6: Final answer
    x = 542,705.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.