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Finding the Third Proportional to 174,241.13 and 256,258.69

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Solution

The third proportional to 174,241.13 and 256,258.69 is: 376,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,241.13 : 256,258.69 = 256,258.69 : x
  2. Step 2: Convert to fraction form
    174,241.13/256,258.69 = 256,258.69/x
  3. Step 3: Cross multiply
    174,241.13x = 256,258.69 × 256,258.69
  4. Step 4: Simplify right side
    174,241.13x = 65,668,514,919.22
  5. Step 5: Solve for x
    x = 65,668,514,919.22/174,241.13
  6. Step 6: Final answer
    x = 376,882.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.