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Finding the Third Proportional to 131,920 and 293,368

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Solution

The third proportional to 131,920 and 293,368 is: 652,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,920 : 293,368 = 293,368 : x
  2. Step 2: Convert to fraction form
    131,920/293,368 = 293,368/x
  3. Step 3: Cross multiply
    131,920x = 293,368 × 293,368
  4. Step 4: Simplify right side
    131,920x = 86,064,783,424
  5. Step 5: Solve for x
    x = 86,064,783,424/131,920
  6. Step 6: Final answer
    x = 652,401.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.