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Finding the Third Proportional to 151,769 and 222,733

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Solution

The third proportional to 151,769 and 222,733 is: 326,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,769 : 222,733 = 222,733 : x
  2. Step 2: Convert to fraction form
    151,769/222,733 = 222,733/x
  3. Step 3: Cross multiply
    151,769x = 222,733 × 222,733
  4. Step 4: Simplify right side
    151,769x = 49,609,989,289
  5. Step 5: Solve for x
    x = 49,609,989,289/151,769
  6. Step 6: Final answer
    x = 326,878.28

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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.