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Finding the Third Proportional to 133,325 and 292,348

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Solution

The third proportional to 133,325 and 292,348 is: 641,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,325 : 292,348 = 292,348 : x
  2. Step 2: Convert to fraction form
    133,325/292,348 = 292,348/x
  3. Step 3: Cross multiply
    133,325x = 292,348 × 292,348
  4. Step 4: Simplify right side
    133,325x = 85,467,353,104
  5. Step 5: Solve for x
    x = 85,467,353,104/133,325
  6. Step 6: Final answer
    x = 641,045.21

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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.