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Finding the Third Proportional to 177,604 and 371,628

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Solution

The third proportional to 177,604 and 371,628 is: 777,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,604 : 371,628 = 371,628 : x
  2. Step 2: Convert to fraction form
    177,604/371,628 = 371,628/x
  3. Step 3: Cross multiply
    177,604x = 371,628 × 371,628
  4. Step 4: Simplify right side
    177,604x = 138,107,370,384
  5. Step 5: Solve for x
    x = 138,107,370,384/177,604
  6. Step 6: Final answer
    x = 777,614.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.