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Finding the Third Proportional to 125,568.25 and 296,360

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Solution

The third proportional to 125,568.25 and 296,360 is: 699,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,568.25 : 296,360 = 296,360 : x
  2. Step 2: Convert to fraction form
    125,568.25/296,360 = 296,360/x
  3. Step 3: Cross multiply
    125,568.25x = 296,360 × 296,360
  4. Step 4: Simplify right side
    125,568.25x = 87,829,249,600
  5. Step 5: Solve for x
    x = 87,829,249,600/125,568.25
  6. Step 6: Final answer
    x = 699,454.28

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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.