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Finding the Third Proportional to 229,857.75 and 379,869.75

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Solution

The third proportional to 229,857.75 and 379,869.75 is: 627,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,857.75 : 379,869.75 = 379,869.75 : x
  2. Step 2: Convert to fraction form
    229,857.75/379,869.75 = 379,869.75/x
  3. Step 3: Cross multiply
    229,857.75x = 379,869.75 × 379,869.75
  4. Step 4: Simplify right side
    229,857.75x = 144,301,026,965.06
  5. Step 5: Solve for x
    x = 144,301,026,965.06/229,857.75
  6. Step 6: Final answer
    x = 627,784.04

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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.