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Finding the Third Proportional to 164,461.50 and 222,864.75

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Solution

The third proportional to 164,461.50 and 222,864.75 is: 302,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,461.50 : 222,864.75 = 222,864.75 : x
  2. Step 2: Convert to fraction form
    164,461.50/222,864.75 = 222,864.75/x
  3. Step 3: Cross multiply
    164,461.50x = 222,864.75 × 222,864.75
  4. Step 4: Simplify right side
    164,461.50x = 49,668,696,792.56
  5. Step 5: Solve for x
    x = 49,668,696,792.56/164,461.50
  6. Step 6: Final answer
    x = 302,008.05

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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.