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Finding the Third Proportional to 175,814 and 262,562

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Solution

The third proportional to 175,814 and 262,562 is: 392,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,814 : 262,562 = 262,562 : x
  2. Step 2: Convert to fraction form
    175,814/262,562 = 262,562/x
  3. Step 3: Cross multiply
    175,814x = 262,562 × 262,562
  4. Step 4: Simplify right side
    175,814x = 68,938,803,844
  5. Step 5: Solve for x
    x = 68,938,803,844/175,814
  6. Step 6: Final answer
    x = 392,112.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.