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Finding the Third Proportional to 236,856.66 and 518,000.06

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Solution

The third proportional to 236,856.66 and 518,000.06 is: 1,132,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,856.66 : 518,000.06 = 518,000.06 : x
  2. Step 2: Convert to fraction form
    236,856.66/518,000.06 = 518,000.06/x
  3. Step 3: Cross multiply
    236,856.66x = 518,000.06 × 518,000.06
  4. Step 4: Simplify right side
    236,856.66x = 268,324,064,750.00
  5. Step 5: Solve for x
    x = 268,324,064,750.00/236,856.66
  6. Step 6: Final answer
    x = 1,132,854.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.