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Finding the Third Proportional to 161,028 and 232,254

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Solution

The third proportional to 161,028 and 232,254 is: 334,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,028 : 232,254 = 232,254 : x
  2. Step 2: Convert to fraction form
    161,028/232,254 = 232,254/x
  3. Step 3: Cross multiply
    161,028x = 232,254 × 232,254
  4. Step 4: Simplify right side
    161,028x = 53,941,920,516
  5. Step 5: Solve for x
    x = 53,941,920,516/161,028
  6. Step 6: Final answer
    x = 334,984.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.