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Finding the Third Proportional to 210,266 and 317,586

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Solution

The third proportional to 210,266 and 317,586 is: 479,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,266 : 317,586 = 317,586 : x
  2. Step 2: Convert to fraction form
    210,266/317,586 = 317,586/x
  3. Step 3: Cross multiply
    210,266x = 317,586 × 317,586
  4. Step 4: Simplify right side
    210,266x = 100,860,867,396
  5. Step 5: Solve for x
    x = 100,860,867,396/210,266
  6. Step 6: Final answer
    x = 479,682.25

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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.