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Finding the Third Proportional to 175,192 and 384,294

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Solution

The third proportional to 175,192 and 384,294 is: 842,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,192 : 384,294 = 384,294 : x
  2. Step 2: Convert to fraction form
    175,192/384,294 = 384,294/x
  3. Step 3: Cross multiply
    175,192x = 384,294 × 384,294
  4. Step 4: Simplify right side
    175,192x = 147,681,878,436
  5. Step 5: Solve for x
    x = 147,681,878,436/175,192
  6. Step 6: Final answer
    x = 842,971.59

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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.