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Finding the Third Proportional to 85,310 and 199,364

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Solution

The third proportional to 85,310 and 199,364 is: 465,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,310 : 199,364 = 199,364 : x
  2. Step 2: Convert to fraction form
    85,310/199,364 = 199,364/x
  3. Step 3: Cross multiply
    85,310x = 199,364 × 199,364
  4. Step 4: Simplify right side
    85,310x = 39,746,004,496
  5. Step 5: Solve for x
    x = 39,746,004,496/85,310
  6. Step 6: Final answer
    x = 465,900.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.