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Finding the Third Proportional to 164,908 and 353,136

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Solution

The third proportional to 164,908 and 353,136 is: 756,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,908 : 353,136 = 353,136 : x
  2. Step 2: Convert to fraction form
    164,908/353,136 = 353,136/x
  3. Step 3: Cross multiply
    164,908x = 353,136 × 353,136
  4. Step 4: Simplify right side
    164,908x = 124,705,034,496
  5. Step 5: Solve for x
    x = 124,705,034,496/164,908
  6. Step 6: Final answer
    x = 756,209.73

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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.