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Finding the Third Proportional to 193,597 and 293,313

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Solution

The third proportional to 193,597 and 293,313 is: 444,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,597 : 293,313 = 293,313 : x
  2. Step 2: Convert to fraction form
    193,597/293,313 = 293,313/x
  3. Step 3: Cross multiply
    193,597x = 293,313 × 293,313
  4. Step 4: Simplify right side
    193,597x = 86,032,515,969
  5. Step 5: Solve for x
    x = 86,032,515,969/193,597
  6. Step 6: Final answer
    x = 444,389.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.