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Finding the Third Proportional to 212,201.65 and 460,568.53

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Solution

The third proportional to 212,201.65 and 460,568.53 is: 999,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,201.65 : 460,568.53 = 460,568.53 : x
  2. Step 2: Convert to fraction form
    212,201.65/460,568.53 = 460,568.53/x
  3. Step 3: Cross multiply
    212,201.65x = 460,568.53 × 460,568.53
  4. Step 4: Simplify right side
    212,201.65x = 212,123,371,977.78
  5. Step 5: Solve for x
    x = 212,123,371,977.78/212,201.65
  6. Step 6: Final answer
    x = 999,631.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.