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Finding the Third Proportional to 214,106 and 333,415

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Solution

The third proportional to 214,106 and 333,415 is: 519,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,106 : 333,415 = 333,415 : x
  2. Step 2: Convert to fraction form
    214,106/333,415 = 333,415/x
  3. Step 3: Cross multiply
    214,106x = 333,415 × 333,415
  4. Step 4: Simplify right side
    214,106x = 111,165,562,225
  5. Step 5: Solve for x
    x = 111,165,562,225/214,106
  6. Step 6: Final answer
    x = 519,208.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.