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Finding the Third Proportional to 202,341.75 and 296,951.25

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Solution

The third proportional to 202,341.75 and 296,951.25 is: 435,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,341.75 : 296,951.25 = 296,951.25 : x
  2. Step 2: Convert to fraction form
    202,341.75/296,951.25 = 296,951.25/x
  3. Step 3: Cross multiply
    202,341.75x = 296,951.25 × 296,951.25
  4. Step 4: Simplify right side
    202,341.75x = 88,180,044,876.56
  5. Step 5: Solve for x
    x = 88,180,044,876.56/202,341.75
  6. Step 6: Final answer
    x = 435,797.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.