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Finding the Third Proportional to 134,100 and 293,802

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Solution

The third proportional to 134,100 and 293,802 is: 643,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,100 : 293,802 = 293,802 : x
  2. Step 2: Convert to fraction form
    134,100/293,802 = 293,802/x
  3. Step 3: Cross multiply
    134,100x = 293,802 × 293,802
  4. Step 4: Simplify right side
    134,100x = 86,319,615,204
  5. Step 5: Solve for x
    x = 86,319,615,204/134,100
  6. Step 6: Final answer
    x = 643,695.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.