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Finding the Third Proportional to 158,570 and 215,985

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Solution

The third proportional to 158,570 and 215,985 is: 294,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,570 : 215,985 = 215,985 : x
  2. Step 2: Convert to fraction form
    158,570/215,985 = 215,985/x
  3. Step 3: Cross multiply
    158,570x = 215,985 × 215,985
  4. Step 4: Simplify right side
    158,570x = 46,649,520,225
  5. Step 5: Solve for x
    x = 46,649,520,225/158,570
  6. Step 6: Final answer
    x = 294,188.81

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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.