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Finding the Third Proportional to 191,232 and 404,334

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Solution

The third proportional to 191,232 and 404,334 is: 854,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,232 : 404,334 = 404,334 : x
  2. Step 2: Convert to fraction form
    191,232/404,334 = 404,334/x
  3. Step 3: Cross multiply
    191,232x = 404,334 × 404,334
  4. Step 4: Simplify right side
    191,232x = 163,485,983,556
  5. Step 5: Solve for x
    x = 163,485,983,556/191,232
  6. Step 6: Final answer
    x = 854,909.13

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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.