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Finding the Third Proportional to 214,425 and 301,224.38

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Solution

The third proportional to 214,425 and 301,224.38 is: 423,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,425 : 301,224.38 = 301,224.38 : x
  2. Step 2: Convert to fraction form
    214,425/301,224.38 = 301,224.38/x
  3. Step 3: Cross multiply
    214,425x = 301,224.38 × 301,224.38
  4. Step 4: Simplify right side
    214,425x = 90,736,124,094.14
  5. Step 5: Solve for x
    x = 90,736,124,094.14/214,425
  6. Step 6: Final answer
    x = 423,160.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.