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Finding the Third Proportional to 175,076 and 384,192

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Solution

The third proportional to 175,076 and 384,192 is: 843,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,076 : 384,192 = 384,192 : x
  2. Step 2: Convert to fraction form
    175,076/384,192 = 384,192/x
  3. Step 3: Cross multiply
    175,076x = 384,192 × 384,192
  4. Step 4: Simplify right side
    175,076x = 147,603,492,864
  5. Step 5: Solve for x
    x = 147,603,492,864/175,076
  6. Step 6: Final answer
    x = 843,082.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.