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Finding the Third Proportional to 87,368 and 205,364

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Solution

The third proportional to 87,368 and 205,364 is: 482,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,368 : 205,364 = 205,364 : x
  2. Step 2: Convert to fraction form
    87,368/205,364 = 205,364/x
  3. Step 3: Cross multiply
    87,368x = 205,364 × 205,364
  4. Step 4: Simplify right side
    87,368x = 42,174,372,496
  5. Step 5: Solve for x
    x = 42,174,372,496/87,368
  6. Step 6: Final answer
    x = 482,721.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.