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Finding the Third Proportional to 121,922 and 293,693

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Solution

The third proportional to 121,922 and 293,693 is: 707,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,922 : 293,693 = 293,693 : x
  2. Step 2: Convert to fraction form
    121,922/293,693 = 293,693/x
  3. Step 3: Cross multiply
    121,922x = 293,693 × 293,693
  4. Step 4: Simplify right side
    121,922x = 86,255,578,249
  5. Step 5: Solve for x
    x = 86,255,578,249/121,922
  6. Step 6: Final answer
    x = 707,465.25

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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.