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Finding the Third Proportional to 124,832.81 and 269,618.63

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Solution

The third proportional to 124,832.81 and 269,618.63 is: 582,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,832.81 : 269,618.63 = 269,618.63 : x
  2. Step 2: Convert to fraction form
    124,832.81/269,618.63 = 269,618.63/x
  3. Step 3: Cross multiply
    124,832.81x = 269,618.63 × 269,618.63
  4. Step 4: Simplify right side
    124,832.81x = 72,694,202,946.89
  5. Step 5: Solve for x
    x = 72,694,202,946.89/124,832.81
  6. Step 6: Final answer
    x = 582,332.49

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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.