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Finding the Third Proportional to 190,584 and 296,757

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Solution

The third proportional to 190,584 and 296,757 is: 462,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,584 : 296,757 = 296,757 : x
  2. Step 2: Convert to fraction form
    190,584/296,757 = 296,757/x
  3. Step 3: Cross multiply
    190,584x = 296,757 × 296,757
  4. Step 4: Simplify right side
    190,584x = 88,064,717,049
  5. Step 5: Solve for x
    x = 88,064,717,049/190,584
  6. Step 6: Final answer
    x = 462,078.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.