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Finding the Third Proportional to 93,341 and 211,300

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Solution

The third proportional to 93,341 and 211,300 is: 478,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,341 : 211,300 = 211,300 : x
  2. Step 2: Convert to fraction form
    93,341/211,300 = 211,300/x
  3. Step 3: Cross multiply
    93,341x = 211,300 × 211,300
  4. Step 4: Simplify right side
    93,341x = 44,647,690,000
  5. Step 5: Solve for x
    x = 44,647,690,000/93,341
  6. Step 6: Final answer
    x = 478,328.82

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.