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Finding the Third Proportional to 162,542 and 215,673.50

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Solution

The third proportional to 162,542 and 215,673.50 is: 286,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,542 : 215,673.50 = 215,673.50 : x
  2. Step 2: Convert to fraction form
    162,542/215,673.50 = 215,673.50/x
  3. Step 3: Cross multiply
    162,542x = 215,673.50 × 215,673.50
  4. Step 4: Simplify right side
    162,542x = 46,515,058,602.25
  5. Step 5: Solve for x
    x = 46,515,058,602.25/162,542
  6. Step 6: Final answer
    x = 286,172.55

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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.