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Finding the Third Proportional to 248,221.13 and 383,564.95

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Solution

The third proportional to 248,221.13 and 383,564.95 is: 592,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,221.13 : 383,564.95 = 383,564.95 : x
  2. Step 2: Convert to fraction form
    248,221.13/383,564.95 = 383,564.95/x
  3. Step 3: Cross multiply
    248,221.13x = 383,564.95 × 383,564.95
  4. Step 4: Simplify right side
    248,221.13x = 147,122,073,265.78
  5. Step 5: Solve for x
    x = 147,122,073,265.78/248,221.13
  6. Step 6: Final answer
    x = 592,705.69

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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.