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Finding the Third Proportional to 180,624 and 268,321.50

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Solution

The third proportional to 180,624 and 268,321.50 is: 398,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624 : 268,321.50 = 268,321.50 : x
  2. Step 2: Convert to fraction form
    180,624/268,321.50 = 268,321.50/x
  3. Step 3: Cross multiply
    180,624x = 268,321.50 × 268,321.50
  4. Step 4: Simplify right side
    180,624x = 71,996,427,362.25
  5. Step 5: Solve for x
    x = 71,996,427,362.25/180,624
  6. Step 6: Final answer
    x = 398,598.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.