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Finding the Third Proportional to 193,348 and 425,890

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Solution

The third proportional to 193,348 and 425,890 is: 938,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,348 : 425,890 = 425,890 : x
  2. Step 2: Convert to fraction form
    193,348/425,890 = 425,890/x
  3. Step 3: Cross multiply
    193,348x = 425,890 × 425,890
  4. Step 4: Simplify right side
    193,348x = 181,382,292,100
  5. Step 5: Solve for x
    x = 181,382,292,100/193,348
  6. Step 6: Final answer
    x = 938,113.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.