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Finding the Third Proportional to 161,844 and 353,334

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Solution

The third proportional to 161,844 and 353,334 is: 771,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,844 : 353,334 = 353,334 : x
  2. Step 2: Convert to fraction form
    161,844/353,334 = 353,334/x
  3. Step 3: Cross multiply
    161,844x = 353,334 × 353,334
  4. Step 4: Simplify right side
    161,844x = 124,844,915,556
  5. Step 5: Solve for x
    x = 124,844,915,556/161,844
  6. Step 6: Final answer
    x = 771,390.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.