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Finding the Third Proportional to 158,700 and 215,291.25

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Solution

The third proportional to 158,700 and 215,291.25 is: 292,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,700 : 215,291.25 = 215,291.25 : x
  2. Step 2: Convert to fraction form
    158,700/215,291.25 = 215,291.25/x
  3. Step 3: Cross multiply
    158,700x = 215,291.25 × 215,291.25
  4. Step 4: Simplify right side
    158,700x = 46,350,322,326.56
  5. Step 5: Solve for x
    x = 46,350,322,326.56/158,700
  6. Step 6: Final answer
    x = 292,062.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.