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Finding the Third Proportional to 65,280 and 140,928

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Solution

The third proportional to 65,280 and 140,928 is: 304,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,280 : 140,928 = 140,928 : x
  2. Step 2: Convert to fraction form
    65,280/140,928 = 140,928/x
  3. Step 3: Cross multiply
    65,280x = 140,928 × 140,928
  4. Step 4: Simplify right side
    65,280x = 19,860,701,184
  5. Step 5: Solve for x
    x = 19,860,701,184/65,280
  6. Step 6: Final answer
    x = 304,238.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.