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Finding the Third Proportional to 142,856 and 215,580

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Solution

The third proportional to 142,856 and 215,580 is: 325,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,856 : 215,580 = 215,580 : x
  2. Step 2: Convert to fraction form
    142,856/215,580 = 215,580/x
  3. Step 3: Cross multiply
    142,856x = 215,580 × 215,580
  4. Step 4: Simplify right side
    142,856x = 46,474,736,400
  5. Step 5: Solve for x
    x = 46,474,736,400/142,856
  6. Step 6: Final answer
    x = 325,325.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.