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Finding the Third Proportional to 166,924 and 358,136

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Solution

The third proportional to 166,924 and 358,136 is: 768,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,924 : 358,136 = 358,136 : x
  2. Step 2: Convert to fraction form
    166,924/358,136 = 358,136/x
  3. Step 3: Cross multiply
    166,924x = 358,136 × 358,136
  4. Step 4: Simplify right side
    166,924x = 128,261,394,496
  5. Step 5: Solve for x
    x = 128,261,394,496/166,924
  6. Step 6: Final answer
    x = 768,381.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.