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Finding the Third Proportional to 193,232 and 288,064

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Solution

The third proportional to 193,232 and 288,064 is: 429,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232 : 288,064 = 288,064 : x
  2. Step 2: Convert to fraction form
    193,232/288,064 = 288,064/x
  3. Step 3: Cross multiply
    193,232x = 288,064 × 288,064
  4. Step 4: Simplify right side
    193,232x = 82,980,868,096
  5. Step 5: Solve for x
    x = 82,980,868,096/193,232
  6. Step 6: Final answer
    x = 429,436.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.