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Finding the Third Proportional to 133,323 and 292,344

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Solution

The third proportional to 133,323 and 292,344 is: 641,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,323 : 292,344 = 292,344 : x
  2. Step 2: Convert to fraction form
    133,323/292,344 = 292,344/x
  3. Step 3: Cross multiply
    133,323x = 292,344 × 292,344
  4. Step 4: Simplify right side
    133,323x = 85,465,014,336
  5. Step 5: Solve for x
    x = 85,465,014,336/133,323
  6. Step 6: Final answer
    x = 641,037.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.