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Finding the Third Proportional to 107,328 and 234,160

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Solution

The third proportional to 107,328 and 234,160 is: 510,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,328 : 234,160 = 234,160 : x
  2. Step 2: Convert to fraction form
    107,328/234,160 = 234,160/x
  3. Step 3: Cross multiply
    107,328x = 234,160 × 234,160
  4. Step 4: Simplify right side
    107,328x = 54,830,905,600
  5. Step 5: Solve for x
    x = 54,830,905,600/107,328
  6. Step 6: Final answer
    x = 510,872.33

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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.