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Finding the Third Proportional to 193,486 and 291,364

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Solution

The third proportional to 193,486 and 291,364 is: 438,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,486 : 291,364 = 291,364 : x
  2. Step 2: Convert to fraction form
    193,486/291,364 = 291,364/x
  3. Step 3: Cross multiply
    193,486x = 291,364 × 291,364
  4. Step 4: Simplify right side
    193,486x = 84,892,980,496
  5. Step 5: Solve for x
    x = 84,892,980,496/193,486
  6. Step 6: Final answer
    x = 438,755.16

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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.