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Finding the Third Proportional to 159,032 and 215,220

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Solution

The third proportional to 159,032 and 215,220 is: 291,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032 : 215,220 = 215,220 : x
  2. Step 2: Convert to fraction form
    159,032/215,220 = 215,220/x
  3. Step 3: Cross multiply
    159,032x = 215,220 × 215,220
  4. Step 4: Simplify right side
    159,032x = 46,319,648,400
  5. Step 5: Solve for x
    x = 46,319,648,400/159,032
  6. Step 6: Final answer
    x = 291,259.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.