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Finding the Third Proportional to 151,648 and 229,560

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Solution

The third proportional to 151,648 and 229,560 is: 347,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,648 : 229,560 = 229,560 : x
  2. Step 2: Convert to fraction form
    151,648/229,560 = 229,560/x
  3. Step 3: Cross multiply
    151,648x = 229,560 × 229,560
  4. Step 4: Simplify right side
    151,648x = 52,697,793,600
  5. Step 5: Solve for x
    x = 52,697,793,600/151,648
  6. Step 6: Final answer
    x = 347,500.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.