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Finding the Third Proportional to 148,452 and 229,347

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Solution

The third proportional to 148,452 and 229,347 is: 354,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,452 : 229,347 = 229,347 : x
  2. Step 2: Convert to fraction form
    148,452/229,347 = 229,347/x
  3. Step 3: Cross multiply
    148,452x = 229,347 × 229,347
  4. Step 4: Simplify right side
    148,452x = 52,600,046,409
  5. Step 5: Solve for x
    x = 52,600,046,409/148,452
  6. Step 6: Final answer
    x = 354,323.60

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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.