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Finding the Third Proportional to 151,796 and 226,461

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Solution

The third proportional to 151,796 and 226,461 is: 337,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,796 : 226,461 = 226,461 : x
  2. Step 2: Convert to fraction form
    151,796/226,461 = 226,461/x
  3. Step 3: Cross multiply
    151,796x = 226,461 × 226,461
  4. Step 4: Simplify right side
    151,796x = 51,284,584,521
  5. Step 5: Solve for x
    x = 51,284,584,521/151,796
  6. Step 6: Final answer
    x = 337,852.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.