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Finding the Third Proportional to 164,808 and 188,136

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Solution

The third proportional to 164,808 and 188,136 is: 214,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,808 : 188,136 = 188,136 : x
  2. Step 2: Convert to fraction form
    164,808/188,136 = 188,136/x
  3. Step 3: Cross multiply
    164,808x = 188,136 × 188,136
  4. Step 4: Simplify right side
    164,808x = 35,395,154,496
  5. Step 5: Solve for x
    x = 35,395,154,496/164,808
  6. Step 6: Final answer
    x = 214,766.00

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.