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Finding the Third Proportional to 175,466.25 and 271,577.81

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Solution

The third proportional to 175,466.25 and 271,577.81 is: 420,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,466.25 : 271,577.81 = 271,577.81 : x
  2. Step 2: Convert to fraction form
    175,466.25/271,577.81 = 271,577.81/x
  3. Step 3: Cross multiply
    175,466.25x = 271,577.81 × 271,577.81
  4. Step 4: Simplify right side
    175,466.25x = 73,754,508,242.29
  5. Step 5: Solve for x
    x = 73,754,508,242.29/175,466.25
  6. Step 6: Final answer
    x = 420,334.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.