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Finding the Third Proportional to 135,075.25 and 293,934.50

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Solution

The third proportional to 135,075.25 and 293,934.50 is: 639,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,075.25 : 293,934.50 = 293,934.50 : x
  2. Step 2: Convert to fraction form
    135,075.25/293,934.50 = 293,934.50/x
  3. Step 3: Cross multiply
    135,075.25x = 293,934.50 × 293,934.50
  4. Step 4: Simplify right side
    135,075.25x = 86,397,490,290.25
  5. Step 5: Solve for x
    x = 86,397,490,290.25/135,075.25
  6. Step 6: Final answer
    x = 639,624.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.