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Finding the Third Proportional to 187,872 and 382,303

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Solution

The third proportional to 187,872 and 382,303 is: 777,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,872 : 382,303 = 382,303 : x
  2. Step 2: Convert to fraction form
    187,872/382,303 = 382,303/x
  3. Step 3: Cross multiply
    187,872x = 382,303 × 382,303
  4. Step 4: Simplify right side
    187,872x = 146,155,583,809
  5. Step 5: Solve for x
    x = 146,155,583,809/187,872
  6. Step 6: Final answer
    x = 777,952.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.