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Finding the Third Proportional to 193,752 and 432,864

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Solution

The third proportional to 193,752 and 432,864 is: 967,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,752 : 432,864 = 432,864 : x
  2. Step 2: Convert to fraction form
    193,752/432,864 = 432,864/x
  3. Step 3: Cross multiply
    193,752x = 432,864 × 432,864
  4. Step 4: Simplify right side
    193,752x = 187,371,242,496
  5. Step 5: Solve for x
    x = 187,371,242,496/193,752
  6. Step 6: Final answer
    x = 967,067.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.