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Finding the Third Proportional to 161,232 and 254,214

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Solution

The third proportional to 161,232 and 254,214 is: 400,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,232 : 254,214 = 254,214 : x
  2. Step 2: Convert to fraction form
    161,232/254,214 = 254,214/x
  3. Step 3: Cross multiply
    161,232x = 254,214 × 254,214
  4. Step 4: Simplify right side
    161,232x = 64,624,757,796
  5. Step 5: Solve for x
    x = 64,624,757,796/161,232
  6. Step 6: Final answer
    x = 400,818.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.