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Finding the Third Proportional to 193,680 and 299,160

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Solution

The third proportional to 193,680 and 299,160 is: 462,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,680 : 299,160 = 299,160 : x
  2. Step 2: Convert to fraction form
    193,680/299,160 = 299,160/x
  3. Step 3: Cross multiply
    193,680x = 299,160 × 299,160
  4. Step 4: Simplify right side
    193,680x = 89,496,705,600
  5. Step 5: Solve for x
    x = 89,496,705,600/193,680
  6. Step 6: Final answer
    x = 462,085.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.