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Finding the Third Proportional to 161,588 and 245,298

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Solution

The third proportional to 161,588 and 245,298 is: 372,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,588 : 245,298 = 245,298 : x
  2. Step 2: Convert to fraction form
    161,588/245,298 = 245,298/x
  3. Step 3: Cross multiply
    161,588x = 245,298 × 245,298
  4. Step 4: Simplify right side
    161,588x = 60,171,108,804
  5. Step 5: Solve for x
    x = 60,171,108,804/161,588
  6. Step 6: Final answer
    x = 372,373.62

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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.