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Finding the Third Proportional to 223,394 and 293,619

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Solution

The third proportional to 223,394 and 293,619 is: 385,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,394 : 293,619 = 293,619 : x
  2. Step 2: Convert to fraction form
    223,394/293,619 = 293,619/x
  3. Step 3: Cross multiply
    223,394x = 293,619 × 293,619
  4. Step 4: Simplify right side
    223,394x = 86,212,117,161
  5. Step 5: Solve for x
    x = 86,212,117,161/223,394
  6. Step 6: Final answer
    x = 385,919.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.