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Finding the Third Proportional to 109,360.13 and 260,825.06

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Solution

The third proportional to 109,360.13 and 260,825.06 is: 622,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360.13 : 260,825.06 = 260,825.06 : x
  2. Step 2: Convert to fraction form
    109,360.13/260,825.06 = 260,825.06/x
  3. Step 3: Cross multiply
    109,360.13x = 260,825.06 × 260,825.06
  4. Step 4: Simplify right side
    109,360.13x = 68,029,713,228.13
  5. Step 5: Solve for x
    x = 68,029,713,228.13/109,360.13
  6. Step 6: Final answer
    x = 622,070.55

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.