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Finding the Third Proportional to 135,928.13 and 293,726.25

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Solution

The third proportional to 135,928.13 and 293,726.25 is: 634,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,928.13 : 293,726.25 = 293,726.25 : x
  2. Step 2: Convert to fraction form
    135,928.13/293,726.25 = 293,726.25/x
  3. Step 3: Cross multiply
    135,928.13x = 293,726.25 × 293,726.25
  4. Step 4: Simplify right side
    135,928.13x = 86,275,109,939.06
  5. Step 5: Solve for x
    x = 86,275,109,939.06/135,928.13
  6. Step 6: Final answer
    x = 634,711.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.