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Finding the Third Proportional to 125,018.44 and 269,580.66

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Solution

The third proportional to 125,018.44 and 269,580.66 is: 581,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,018.44 : 269,580.66 = 269,580.66 : x
  2. Step 2: Convert to fraction form
    125,018.44/269,580.66 = 269,580.66/x
  3. Step 3: Cross multiply
    125,018.44x = 269,580.66 × 269,580.66
  4. Step 4: Simplify right side
    125,018.44x = 72,673,730,224.18
  5. Step 5: Solve for x
    x = 72,673,730,224.18/125,018.44
  6. Step 6: Final answer
    x = 581,304.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.