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Finding the Third Proportional to 141,196 and 310,040

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Solution

The third proportional to 141,196 and 310,040 is: 680,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,196 : 310,040 = 310,040 : x
  2. Step 2: Convert to fraction form
    141,196/310,040 = 310,040/x
  3. Step 3: Cross multiply
    141,196x = 310,040 × 310,040
  4. Step 4: Simplify right side
    141,196x = 96,124,801,600
  5. Step 5: Solve for x
    x = 96,124,801,600/141,196
  6. Step 6: Final answer
    x = 680,789.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.