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Finding the Third Proportional to 161,184 and 236,592

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Solution

The third proportional to 161,184 and 236,592 is: 347,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,184 : 236,592 = 236,592 : x
  2. Step 2: Convert to fraction form
    161,184/236,592 = 236,592/x
  3. Step 3: Cross multiply
    161,184x = 236,592 × 236,592
  4. Step 4: Simplify right side
    161,184x = 55,975,774,464
  5. Step 5: Solve for x
    x = 55,975,774,464/161,184
  6. Step 6: Final answer
    x = 347,278.73

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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.