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Finding the Third Proportional to 135,985.50 and 296,165.25

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Solution

The third proportional to 135,985.50 and 296,165.25 is: 645,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,985.50 : 296,165.25 = 296,165.25 : x
  2. Step 2: Convert to fraction form
    135,985.50/296,165.25 = 296,165.25/x
  3. Step 3: Cross multiply
    135,985.50x = 296,165.25 × 296,165.25
  4. Step 4: Simplify right side
    135,985.50x = 87,713,855,307.56
  5. Step 5: Solve for x
    x = 87,713,855,307.56/135,985.50
  6. Step 6: Final answer
    x = 645,023.59

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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.