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Finding the Third Proportional to 180,348 and 384,822

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Solution

The third proportional to 180,348 and 384,822 is: 821,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,348 : 384,822 = 384,822 : x
  2. Step 2: Convert to fraction form
    180,348/384,822 = 384,822/x
  3. Step 3: Cross multiply
    180,348x = 384,822 × 384,822
  4. Step 4: Simplify right side
    180,348x = 148,087,971,684
  5. Step 5: Solve for x
    x = 148,087,971,684/180,348
  6. Step 6: Final answer
    x = 821,123.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.