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Finding the Third Proportional to 161,712 and 245,832

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Solution

The third proportional to 161,712 and 245,832 is: 373,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,712 : 245,832 = 245,832 : x
  2. Step 2: Convert to fraction form
    161,712/245,832 = 245,832/x
  3. Step 3: Cross multiply
    161,712x = 245,832 × 245,832
  4. Step 4: Simplify right side
    161,712x = 60,433,372,224
  5. Step 5: Solve for x
    x = 60,433,372,224/161,712
  6. Step 6: Final answer
    x = 373,709.88

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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.