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Finding the Third Proportional to 133,920 and 291,168

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Solution

The third proportional to 133,920 and 291,168 is: 633,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920 : 291,168 = 291,168 : x
  2. Step 2: Convert to fraction form
    133,920/291,168 = 291,168/x
  3. Step 3: Cross multiply
    133,920x = 291,168 × 291,168
  4. Step 4: Simplify right side
    133,920x = 84,778,804,224
  5. Step 5: Solve for x
    x = 84,778,804,224/133,920
  6. Step 6: Final answer
    x = 633,055.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.