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Finding the Third Proportional to 214,664.63 and 315,433.13

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Solution

The third proportional to 214,664.63 and 315,433.13 is: 463,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,664.63 : 315,433.13 = 315,433.13 : x
  2. Step 2: Convert to fraction form
    214,664.63/315,433.13 = 315,433.13/x
  3. Step 3: Cross multiply
    214,664.63x = 315,433.13 × 315,433.13
  4. Step 4: Simplify right side
    214,664.63x = 99,498,056,347.27
  5. Step 5: Solve for x
    x = 99,498,056,347.27/214,664.63
  6. Step 6: Final answer
    x = 463,504.67

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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.