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Finding the Third Proportional to 142,870 and 215,602

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Solution

The third proportional to 142,870 and 215,602 is: 325,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,870 : 215,602 = 215,602 : x
  2. Step 2: Convert to fraction form
    142,870/215,602 = 215,602/x
  3. Step 3: Cross multiply
    142,870x = 215,602 × 215,602
  4. Step 4: Simplify right side
    142,870x = 46,484,222,404
  5. Step 5: Solve for x
    x = 46,484,222,404/142,870
  6. Step 6: Final answer
    x = 325,360.27

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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.