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Finding the Third Proportional to 202,363 and 292,356

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Solution

The third proportional to 202,363 and 292,356 is: 422,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,363 : 292,356 = 292,356 : x
  2. Step 2: Convert to fraction form
    202,363/292,356 = 292,356/x
  3. Step 3: Cross multiply
    202,363x = 292,356 × 292,356
  4. Step 4: Simplify right side
    202,363x = 85,472,030,736
  5. Step 5: Solve for x
    x = 85,472,030,736/202,363
  6. Step 6: Final answer
    x = 422,369.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.