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Finding the Third Proportional to 121,814 and 293,464

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Solution

The third proportional to 121,814 and 293,464 is: 706,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,814 : 293,464 = 293,464 : x
  2. Step 2: Convert to fraction form
    121,814/293,464 = 293,464/x
  3. Step 3: Cross multiply
    121,814x = 293,464 × 293,464
  4. Step 4: Simplify right side
    121,814x = 86,121,119,296
  5. Step 5: Solve for x
    x = 86,121,119,296/121,814
  6. Step 6: Final answer
    x = 706,988.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.