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Finding the Third Proportional to 161,014 and 236,595

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Solution

The third proportional to 161,014 and 236,595 is: 347,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,014 : 236,595 = 236,595 : x
  2. Step 2: Convert to fraction form
    161,014/236,595 = 236,595/x
  3. Step 3: Cross multiply
    161,014x = 236,595 × 236,595
  4. Step 4: Simplify right side
    161,014x = 55,977,194,025
  5. Step 5: Solve for x
    x = 55,977,194,025/161,014
  6. Step 6: Final answer
    x = 347,654.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.