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Finding the Third Proportional to 142,860 and 215,586

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Solution

The third proportional to 142,860 and 215,586 is: 325,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,860 : 215,586 = 215,586 : x
  2. Step 2: Convert to fraction form
    142,860/215,586 = 215,586/x
  3. Step 3: Cross multiply
    142,860x = 215,586 × 215,586
  4. Step 4: Simplify right side
    142,860x = 46,477,323,396
  5. Step 5: Solve for x
    x = 46,477,323,396/142,860
  6. Step 6: Final answer
    x = 325,334.76

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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.