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Finding the Third Proportional to 185,574 and 288,063

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Solution

The third proportional to 185,574 and 288,063 is: 447,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,574 : 288,063 = 288,063 : x
  2. Step 2: Convert to fraction form
    185,574/288,063 = 288,063/x
  3. Step 3: Cross multiply
    185,574x = 288,063 × 288,063
  4. Step 4: Simplify right side
    185,574x = 82,980,291,969
  5. Step 5: Solve for x
    x = 82,980,291,969/185,574
  6. Step 6: Final answer
    x = 447,154.73

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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.