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Finding the Third Proportional to 210,426 and 295,981

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Solution

The third proportional to 210,426 and 295,981 is: 416,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,426 : 295,981 = 295,981 : x
  2. Step 2: Convert to fraction form
    210,426/295,981 = 295,981/x
  3. Step 3: Cross multiply
    210,426x = 295,981 × 295,981
  4. Step 4: Simplify right side
    210,426x = 87,604,752,361
  5. Step 5: Solve for x
    x = 87,604,752,361/210,426
  6. Step 6: Final answer
    x = 416,320.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.