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Finding the Third Proportional to 93,760 and 221,328

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Solution

The third proportional to 93,760 and 221,328 is: 522,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,760 : 221,328 = 221,328 : x
  2. Step 2: Convert to fraction form
    93,760/221,328 = 221,328/x
  3. Step 3: Cross multiply
    93,760x = 221,328 × 221,328
  4. Step 4: Simplify right side
    93,760x = 48,986,083,584
  5. Step 5: Solve for x
    x = 48,986,083,584/93,760
  6. Step 6: Final answer
    x = 522,462.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.