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Finding the Third Proportional to 131,914 and 293,360

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Solution

The third proportional to 131,914 and 293,360 is: 652,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,914 : 293,360 = 293,360 : x
  2. Step 2: Convert to fraction form
    131,914/293,360 = 293,360/x
  3. Step 3: Cross multiply
    131,914x = 293,360 × 293,360
  4. Step 4: Simplify right side
    131,914x = 86,060,089,600
  5. Step 5: Solve for x
    x = 86,060,089,600/131,914
  6. Step 6: Final answer
    x = 652,395.42

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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.