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Finding the Third Proportional to 164,398.50 and 222,781.50

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Solution

The third proportional to 164,398.50 and 222,781.50 is: 301,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,398.50 : 222,781.50 = 222,781.50 : x
  2. Step 2: Convert to fraction form
    164,398.50/222,781.50 = 222,781.50/x
  3. Step 3: Cross multiply
    164,398.50x = 222,781.50 × 222,781.50
  4. Step 4: Simplify right side
    164,398.50x = 49,631,596,742.25
  5. Step 5: Solve for x
    x = 49,631,596,742.25/164,398.50
  6. Step 6: Final answer
    x = 301,898.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.