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Finding the Third Proportional to 193,656 and 293,382

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Solution

The third proportional to 193,656 and 293,382 is: 444,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,656 : 293,382 = 293,382 : x
  2. Step 2: Convert to fraction form
    193,656/293,382 = 293,382/x
  3. Step 3: Cross multiply
    193,656x = 293,382 × 293,382
  4. Step 4: Simplify right side
    193,656x = 86,072,997,924
  5. Step 5: Solve for x
    x = 86,072,997,924/193,656
  6. Step 6: Final answer
    x = 444,463.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.