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Finding the Third Proportional to 229,204.69 and 495,279.56

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Solution

The third proportional to 229,204.69 and 495,279.56 is: 1,070,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,204.69 : 495,279.56 = 495,279.56 : x
  2. Step 2: Convert to fraction form
    229,204.69/495,279.56 = 495,279.56/x
  3. Step 3: Cross multiply
    229,204.69x = 495,279.56 × 495,279.56
  4. Step 4: Simplify right side
    229,204.69x = 245,301,845,030.19
  5. Step 5: Solve for x
    x = 245,301,845,030.19/229,204.69
  6. Step 6: Final answer
    x = 1,070,230.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.