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Finding the Third Proportional to 174,853.69 and 261,429.19

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Solution

The third proportional to 174,853.69 and 261,429.19 is: 390,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,853.69 : 261,429.19 = 261,429.19 : x
  2. Step 2: Convert to fraction form
    174,853.69/261,429.19 = 261,429.19/x
  3. Step 3: Cross multiply
    174,853.69x = 261,429.19 × 261,429.19
  4. Step 4: Simplify right side
    174,853.69x = 68,345,220,076.91
  5. Step 5: Solve for x
    x = 68,345,220,076.91/174,853.69
  6. Step 6: Final answer
    x = 390,870.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.