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Finding the Third Proportional to 134,213.63 and 292,044.38

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Solution

The third proportional to 134,213.63 and 292,044.38 is: 635,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,213.63 : 292,044.38 = 292,044.38 : x
  2. Step 2: Convert to fraction form
    134,213.63/292,044.38 = 292,044.38/x
  3. Step 3: Cross multiply
    134,213.63x = 292,044.38 × 292,044.38
  4. Step 4: Simplify right side
    134,213.63x = 85,289,916,969.14
  5. Step 5: Solve for x
    x = 85,289,916,969.14/134,213.63
  6. Step 6: Final answer
    x = 635,478.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.