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Finding the Third Proportional to 97,280 and 211,601

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Solution

The third proportional to 97,280 and 211,601 is: 460,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,280 : 211,601 = 211,601 : x
  2. Step 2: Convert to fraction form
    97,280/211,601 = 211,601/x
  3. Step 3: Cross multiply
    97,280x = 211,601 × 211,601
  4. Step 4: Simplify right side
    97,280x = 44,774,983,201
  5. Step 5: Solve for x
    x = 44,774,983,201/97,280
  6. Step 6: Final answer
    x = 460,269.15

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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.