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Finding the Third Proportional to 151,232 and 330,136

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Solution

The third proportional to 151,232 and 330,136 is: 720,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,232 : 330,136 = 330,136 : x
  2. Step 2: Convert to fraction form
    151,232/330,136 = 330,136/x
  3. Step 3: Cross multiply
    151,232x = 330,136 × 330,136
  4. Step 4: Simplify right side
    151,232x = 108,989,778,496
  5. Step 5: Solve for x
    x = 108,989,778,496/151,232
  6. Step 6: Final answer
    x = 720,679.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.