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Finding the Third Proportional to 162,269 and 356,506

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Solution

The third proportional to 162,269 and 356,506 is: 783,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,269 : 356,506 = 356,506 : x
  2. Step 2: Convert to fraction form
    162,269/356,506 = 356,506/x
  3. Step 3: Cross multiply
    162,269x = 356,506 × 356,506
  4. Step 4: Simplify right side
    162,269x = 127,096,528,036
  5. Step 5: Solve for x
    x = 127,096,528,036/162,269
  6. Step 6: Final answer
    x = 783,245.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.