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Finding the Third Proportional to 202,626 and 296,118

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Solution

The third proportional to 202,626 and 296,118 is: 432,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,626 : 296,118 = 296,118 : x
  2. Step 2: Convert to fraction form
    202,626/296,118 = 296,118/x
  3. Step 3: Cross multiply
    202,626x = 296,118 × 296,118
  4. Step 4: Simplify right side
    202,626x = 87,685,869,924
  5. Step 5: Solve for x
    x = 87,685,869,924/202,626
  6. Step 6: Final answer
    x = 432,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.