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Finding the Third Proportional to 142,889 and 215,630

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Solution

The third proportional to 142,889 and 215,630 is: 325,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,889 : 215,630 = 215,630 : x
  2. Step 2: Convert to fraction form
    142,889/215,630 = 215,630/x
  3. Step 3: Cross multiply
    142,889x = 215,630 × 215,630
  4. Step 4: Simplify right side
    142,889x = 46,496,296,900
  5. Step 5: Solve for x
    x = 46,496,296,900/142,889
  6. Step 6: Final answer
    x = 325,401.51

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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.