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Finding the Third Proportional to 121,920 and 293,688

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Solution

The third proportional to 121,920 and 293,688 is: 707,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,920 : 293,688 = 293,688 : x
  2. Step 2: Convert to fraction form
    121,920/293,688 = 293,688/x
  3. Step 3: Cross multiply
    121,920x = 293,688 × 293,688
  4. Step 4: Simplify right side
    121,920x = 86,252,641,344
  5. Step 5: Solve for x
    x = 86,252,641,344/121,920
  6. Step 6: Final answer
    x = 707,452.77

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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.