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Finding the Third Proportional to 182,406 and 245,562

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Solution

The third proportional to 182,406 and 245,562 is: 330,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,406 : 245,562 = 245,562 : x
  2. Step 2: Convert to fraction form
    182,406/245,562 = 245,562/x
  3. Step 3: Cross multiply
    182,406x = 245,562 × 245,562
  4. Step 4: Simplify right side
    182,406x = 60,300,695,844
  5. Step 5: Solve for x
    x = 60,300,695,844/182,406
  6. Step 6: Final answer
    x = 330,585.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.