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Finding the Third Proportional to 148,473 and 229,837.50

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Solution

The third proportional to 148,473 and 229,837.50 is: 355,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,473 : 229,837.50 = 229,837.50 : x
  2. Step 2: Convert to fraction form
    148,473/229,837.50 = 229,837.50/x
  3. Step 3: Cross multiply
    148,473x = 229,837.50 × 229,837.50
  4. Step 4: Simplify right side
    148,473x = 52,825,276,406.25
  5. Step 5: Solve for x
    x = 52,825,276,406.25/148,473
  6. Step 6: Final answer
    x = 355,790.46

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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.