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Finding the Third Proportional to 214,152.50 and 460,601

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Solution

The third proportional to 214,152.50 and 460,601 is: 990,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,152.50 : 460,601 = 460,601 : x
  2. Step 2: Convert to fraction form
    214,152.50/460,601 = 460,601/x
  3. Step 3: Cross multiply
    214,152.50x = 460,601 × 460,601
  4. Step 4: Simplify right side
    214,152.50x = 212,153,281,201
  5. Step 5: Solve for x
    x = 212,153,281,201/214,152.50
  6. Step 6: Final answer
    x = 990,664.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.