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Finding the Third Proportional to 80,753 and 174,430

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Solution

The third proportional to 80,753 and 174,430 is: 376,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,753 : 174,430 = 174,430 : x
  2. Step 2: Convert to fraction form
    80,753/174,430 = 174,430/x
  3. Step 3: Cross multiply
    80,753x = 174,430 × 174,430
  4. Step 4: Simplify right side
    80,753x = 30,425,824,900
  5. Step 5: Solve for x
    x = 30,425,824,900/80,753
  6. Step 6: Final answer
    x = 376,776.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.