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Finding the Third Proportional to 212,632 and 332,798

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Solution

The third proportional to 212,632 and 332,798 is: 520,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,632 : 332,798 = 332,798 : x
  2. Step 2: Convert to fraction form
    212,632/332,798 = 332,798/x
  3. Step 3: Cross multiply
    212,632x = 332,798 × 332,798
  4. Step 4: Simplify right side
    212,632x = 110,754,508,804
  5. Step 5: Solve for x
    x = 110,754,508,804/212,632
  6. Step 6: Final answer
    x = 520,874.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.