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Finding the Third Proportional to 148,221 and 229,270.50

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Solution

The third proportional to 148,221 and 229,270.50 is: 354,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,221 : 229,270.50 = 229,270.50 : x
  2. Step 2: Convert to fraction form
    148,221/229,270.50 = 229,270.50/x
  3. Step 3: Cross multiply
    148,221x = 229,270.50 × 229,270.50
  4. Step 4: Simplify right side
    148,221x = 52,564,962,170.25
  5. Step 5: Solve for x
    x = 52,564,962,170.25/148,221
  6. Step 6: Final answer
    x = 354,639.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.