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Finding the Third Proportional to 149,624 and 229,968

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Solution

The third proportional to 149,624 and 229,968 is: 353,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,624 : 229,968 = 229,968 : x
  2. Step 2: Convert to fraction form
    149,624/229,968 = 229,968/x
  3. Step 3: Cross multiply
    149,624x = 229,968 × 229,968
  4. Step 4: Simplify right side
    149,624x = 52,885,281,024
  5. Step 5: Solve for x
    x = 52,885,281,024/149,624
  6. Step 6: Final answer
    x = 353,454.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.