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Finding the Third Proportional to 214,704 and 315,640.13

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Solution

The third proportional to 214,704 and 315,640.13 is: 464,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,704 : 315,640.13 = 315,640.13 : x
  2. Step 2: Convert to fraction form
    214,704/315,640.13 = 315,640.13/x
  3. Step 3: Cross multiply
    214,704x = 315,640.13 × 315,640.13
  4. Step 4: Simplify right side
    214,704x = 99,628,688,510.02
  5. Step 5: Solve for x
    x = 99,628,688,510.02/214,704
  6. Step 6: Final answer
    x = 464,028.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.