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Finding the Third Proportional to 175,212 and 384,334

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Solution

The third proportional to 175,212 and 384,334 is: 843,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,212 : 384,334 = 384,334 : x
  2. Step 2: Convert to fraction form
    175,212/384,334 = 384,334/x
  3. Step 3: Cross multiply
    175,212x = 384,334 × 384,334
  4. Step 4: Simplify right side
    175,212x = 147,712,623,556
  5. Step 5: Solve for x
    x = 147,712,623,556/175,212
  6. Step 6: Final answer
    x = 843,050.84

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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.