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Finding the Third Proportional to 185,761.69 and 219,386.81

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Solution

The third proportional to 185,761.69 and 219,386.81 is: 259,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,761.69 : 219,386.81 = 219,386.81 : x
  2. Step 2: Convert to fraction form
    185,761.69/219,386.81 = 219,386.81/x
  3. Step 3: Cross multiply
    185,761.69x = 219,386.81 × 219,386.81
  4. Step 4: Simplify right side
    185,761.69x = 48,130,573,498.91
  5. Step 5: Solve for x
    x = 48,130,573,498.91/185,761.69
  6. Step 6: Final answer
    x = 259,098.49

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.