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Finding the Third Proportional to 214,052 and 339,222

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Solution

The third proportional to 214,052 and 339,222 is: 537,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,052 : 339,222 = 339,222 : x
  2. Step 2: Convert to fraction form
    214,052/339,222 = 339,222/x
  3. Step 3: Cross multiply
    214,052x = 339,222 × 339,222
  4. Step 4: Simplify right side
    214,052x = 115,071,565,284
  5. Step 5: Solve for x
    x = 115,071,565,284/214,052
  6. Step 6: Final answer
    x = 537,586.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.