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Finding the Third Proportional to 200,769 and 293,611

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Solution

The third proportional to 200,769 and 293,611 is: 429,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769 : 293,611 = 293,611 : x
  2. Step 2: Convert to fraction form
    200,769/293,611 = 293,611/x
  3. Step 3: Cross multiply
    200,769x = 293,611 × 293,611
  4. Step 4: Simplify right side
    200,769x = 86,207,419,321
  5. Step 5: Solve for x
    x = 86,207,419,321/200,769
  6. Step 6: Final answer
    x = 429,386.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.