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Finding the Third Proportional to 129,918 and 293,441.25

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Solution

The third proportional to 129,918 and 293,441.25 is: 662,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,918 : 293,441.25 = 293,441.25 : x
  2. Step 2: Convert to fraction form
    129,918/293,441.25 = 293,441.25/x
  3. Step 3: Cross multiply
    129,918x = 293,441.25 × 293,441.25
  4. Step 4: Simplify right side
    129,918x = 86,107,767,201.56
  5. Step 5: Solve for x
    x = 86,107,767,201.56/129,918
  6. Step 6: Final answer
    x = 662,785.50

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.