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Finding the Third Proportional to 193,581 and 293,287

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Solution

The third proportional to 193,581 and 293,287 is: 444,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,581 : 293,287 = 293,287 : x
  2. Step 2: Convert to fraction form
    193,581/293,287 = 293,287/x
  3. Step 3: Cross multiply
    193,581x = 293,287 × 293,287
  4. Step 4: Simplify right side
    193,581x = 86,017,264,369
  5. Step 5: Solve for x
    x = 86,017,264,369/193,581
  6. Step 6: Final answer
    x = 444,347.66

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