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Finding the Third Proportional to 175,534 and 264,846

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Solution

The third proportional to 175,534 and 264,846 is: 399,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,534 : 264,846 = 264,846 : x
  2. Step 2: Convert to fraction form
    175,534/264,846 = 264,846/x
  3. Step 3: Cross multiply
    175,534x = 264,846 × 264,846
  4. Step 4: Simplify right side
    175,534x = 70,143,403,716
  5. Step 5: Solve for x
    x = 70,143,403,716/175,534
  6. Step 6: Final answer
    x = 399,600.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.