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Finding the Third Proportional to 199,677 and 434,343

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Solution

The third proportional to 199,677 and 434,343 is: 944,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,677 : 434,343 = 434,343 : x
  2. Step 2: Convert to fraction form
    199,677/434,343 = 434,343/x
  3. Step 3: Cross multiply
    199,677x = 434,343 × 434,343
  4. Step 4: Simplify right side
    199,677x = 188,653,841,649
  5. Step 5: Solve for x
    x = 188,653,841,649/199,677
  6. Step 6: Final answer
    x = 944,795.05

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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.