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Finding the Third Proportional to 177,776 and 375,536

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Solution

The third proportional to 177,776 and 375,536 is: 793,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,776 : 375,536 = 375,536 : x
  2. Step 2: Convert to fraction form
    177,776/375,536 = 375,536/x
  3. Step 3: Cross multiply
    177,776x = 375,536 × 375,536
  4. Step 4: Simplify right side
    177,776x = 141,027,287,296
  5. Step 5: Solve for x
    x = 141,027,287,296/177,776
  6. Step 6: Final answer
    x = 793,286.42

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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.