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Finding the Third Proportional to 125,889.19 and 296,839.69

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Solution

The third proportional to 125,889.19 and 296,839.69 is: 699,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,889.19 : 296,839.69 = 296,839.69 : x
  2. Step 2: Convert to fraction form
    125,889.19/296,839.69 = 296,839.69/x
  3. Step 3: Cross multiply
    125,889.19x = 296,839.69 × 296,839.69
  4. Step 4: Simplify right side
    125,889.19x = 88,113,800,075.10
  5. Step 5: Solve for x
    x = 88,113,800,075.10/125,889.19
  6. Step 6: Final answer
    x = 699,931.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.