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Finding the Third Proportional to 165,490 and 357,227

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Solution

The third proportional to 165,490 and 357,227 is: 771,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,490 : 357,227 = 357,227 : x
  2. Step 2: Convert to fraction form
    165,490/357,227 = 357,227/x
  3. Step 3: Cross multiply
    165,490x = 357,227 × 357,227
  4. Step 4: Simplify right side
    165,490x = 127,611,129,529
  5. Step 5: Solve for x
    x = 127,611,129,529/165,490
  6. Step 6: Final answer
    x = 771,110.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.