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Finding the Third Proportional to 155,192 and 330,736

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Solution

The third proportional to 155,192 and 330,736 is: 704,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,192 : 330,736 = 330,736 : x
  2. Step 2: Convert to fraction form
    155,192/330,736 = 330,736/x
  3. Step 3: Cross multiply
    155,192x = 330,736 × 330,736
  4. Step 4: Simplify right side
    155,192x = 109,386,301,696
  5. Step 5: Solve for x
    x = 109,386,301,696/155,192
  6. Step 6: Final answer
    x = 704,844.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.