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Finding the Third Proportional to 166,724 and 357,262

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Solution

The third proportional to 166,724 and 357,262 is: 765,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,724 : 357,262 = 357,262 : x
  2. Step 2: Convert to fraction form
    166,724/357,262 = 357,262/x
  3. Step 3: Cross multiply
    166,724x = 357,262 × 357,262
  4. Step 4: Simplify right side
    166,724x = 127,636,136,644
  5. Step 5: Solve for x
    x = 127,636,136,644/166,724
  6. Step 6: Final answer
    x = 765,553.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.