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Finding the Third Proportional to 214,394 and 315,168

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Solution

The third proportional to 214,394 and 315,168 is: 463,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,394 : 315,168 = 315,168 : x
  2. Step 2: Convert to fraction form
    214,394/315,168 = 315,168/x
  3. Step 3: Cross multiply
    214,394x = 315,168 × 315,168
  4. Step 4: Simplify right side
    214,394x = 99,330,868,224
  5. Step 5: Solve for x
    x = 99,330,868,224/214,394
  6. Step 6: Final answer
    x = 463,309.93

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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.