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Finding the Third Proportional to 210,348 and 317,718

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Solution

The third proportional to 210,348 and 317,718 is: 479,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,348 : 317,718 = 317,718 : x
  2. Step 2: Convert to fraction form
    210,348/317,718 = 317,718/x
  3. Step 3: Cross multiply
    210,348x = 317,718 × 317,718
  4. Step 4: Simplify right side
    210,348x = 100,944,727,524
  5. Step 5: Solve for x
    x = 100,944,727,524/210,348
  6. Step 6: Final answer
    x = 479,893.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.