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Finding the Third Proportional to 158,610 and 215,308

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Solution

The third proportional to 158,610 and 215,308 is: 292,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,610 : 215,308 = 215,308 : x
  2. Step 2: Convert to fraction form
    158,610/215,308 = 215,308/x
  3. Step 3: Cross multiply
    158,610x = 215,308 × 215,308
  4. Step 4: Simplify right side
    158,610x = 46,357,534,864
  5. Step 5: Solve for x
    x = 46,357,534,864/158,610
  6. Step 6: Final answer
    x = 292,273.72

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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.