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Finding the Third Proportional to 183,748 and 379,304

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Solution

The third proportional to 183,748 and 379,304 is: 782,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,748 : 379,304 = 379,304 : x
  2. Step 2: Convert to fraction form
    183,748/379,304 = 379,304/x
  3. Step 3: Cross multiply
    183,748x = 379,304 × 379,304
  4. Step 4: Simplify right side
    183,748x = 143,871,524,416
  5. Step 5: Solve for x
    x = 143,871,524,416/183,748
  6. Step 6: Final answer
    x = 782,982.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.