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Finding the Third Proportional to 141,180 and 310,008

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Solution

The third proportional to 141,180 and 310,008 is: 680,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,180 : 310,008 = 310,008 : x
  2. Step 2: Convert to fraction form
    141,180/310,008 = 310,008/x
  3. Step 3: Cross multiply
    141,180x = 310,008 × 310,008
  4. Step 4: Simplify right side
    141,180x = 96,104,960,064
  5. Step 5: Solve for x
    x = 96,104,960,064/141,180
  6. Step 6: Final answer
    x = 680,726.45

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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.