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Finding the Third Proportional to 148,419 and 229,540.50

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Solution

The third proportional to 148,419 and 229,540.50 is: 355,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,419 : 229,540.50 = 229,540.50 : x
  2. Step 2: Convert to fraction form
    148,419/229,540.50 = 229,540.50/x
  3. Step 3: Cross multiply
    148,419x = 229,540.50 × 229,540.50
  4. Step 4: Simplify right side
    148,419x = 52,688,841,140.25
  5. Step 5: Solve for x
    x = 52,688,841,140.25/148,419
  6. Step 6: Final answer
    x = 355,000.65

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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.