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Finding the Third Proportional to 135,776.25 and 293,402.25

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Solution

The third proportional to 135,776.25 and 293,402.25 is: 634,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,776.25 : 293,402.25 = 293,402.25 : x
  2. Step 2: Convert to fraction form
    135,776.25/293,402.25 = 293,402.25/x
  3. Step 3: Cross multiply
    135,776.25x = 293,402.25 × 293,402.25
  4. Step 4: Simplify right side
    135,776.25x = 86,084,880,305.06
  5. Step 5: Solve for x
    x = 86,084,880,305.06/135,776.25
  6. Step 6: Final answer
    x = 634,020.16

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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.