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Finding the Third Proportional to 191,560 and 404,048

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Solution

The third proportional to 191,560 and 404,048 is: 852,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,560 : 404,048 = 404,048 : x
  2. Step 2: Convert to fraction form
    191,560/404,048 = 404,048/x
  3. Step 3: Cross multiply
    191,560x = 404,048 × 404,048
  4. Step 4: Simplify right side
    191,560x = 163,254,786,304
  5. Step 5: Solve for x
    x = 163,254,786,304/191,560
  6. Step 6: Final answer
    x = 852,238.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.