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Finding the Third Proportional to 161,412 and 266,758

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Solution

The third proportional to 161,412 and 266,758 is: 440,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412 : 266,758 = 266,758 : x
  2. Step 2: Convert to fraction form
    161,412/266,758 = 266,758/x
  3. Step 3: Cross multiply
    161,412x = 266,758 × 266,758
  4. Step 4: Simplify right side
    161,412x = 71,159,830,564
  5. Step 5: Solve for x
    x = 71,159,830,564/161,412
  6. Step 6: Final answer
    x = 440,858.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.