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Finding the Third Proportional to 161,718 and 245,841

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Solution

The third proportional to 161,718 and 245,841 is: 373,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,718 : 245,841 = 245,841 : x
  2. Step 2: Convert to fraction form
    161,718/245,841 = 245,841/x
  3. Step 3: Cross multiply
    161,718x = 245,841 × 245,841
  4. Step 4: Simplify right side
    161,718x = 60,437,797,281
  5. Step 5: Solve for x
    x = 60,437,797,281/161,718
  6. Step 6: Final answer
    x = 373,723.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.