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Finding the Third Proportional to 162,527 and 215,710

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Solution

The third proportional to 162,527 and 215,710 is: 286,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,527 : 215,710 = 215,710 : x
  2. Step 2: Convert to fraction form
    162,527/215,710 = 215,710/x
  3. Step 3: Cross multiply
    162,527x = 215,710 × 215,710
  4. Step 4: Simplify right side
    162,527x = 46,530,804,100
  5. Step 5: Solve for x
    x = 46,530,804,100/162,527
  6. Step 6: Final answer
    x = 286,295.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.