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Finding the Third Proportional to 162,772 and 252,005

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Solution

The third proportional to 162,772 and 252,005 is: 390,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,772 : 252,005 = 252,005 : x
  2. Step 2: Convert to fraction form
    162,772/252,005 = 252,005/x
  3. Step 3: Cross multiply
    162,772x = 252,005 × 252,005
  4. Step 4: Simplify right side
    162,772x = 63,506,520,025
  5. Step 5: Solve for x
    x = 63,506,520,025/162,772
  6. Step 6: Final answer
    x = 390,156.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.