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Finding the Third Proportional to 102,222 and 208,587

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Solution

The third proportional to 102,222 and 208,587 is: 425,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222 : 208,587 = 208,587 : x
  2. Step 2: Convert to fraction form
    102,222/208,587 = 208,587/x
  3. Step 3: Cross multiply
    102,222x = 208,587 × 208,587
  4. Step 4: Simplify right side
    102,222x = 43,508,536,569
  5. Step 5: Solve for x
    x = 43,508,536,569/102,222
  6. Step 6: Final answer
    x = 425,627.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.