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Finding the Third Proportional to 133,776 and 210,232

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Solution

The third proportional to 133,776 and 210,232 is: 330,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776 : 210,232 = 210,232 : x
  2. Step 2: Convert to fraction form
    133,776/210,232 = 210,232/x
  3. Step 3: Cross multiply
    133,776x = 210,232 × 210,232
  4. Step 4: Simplify right side
    133,776x = 44,197,493,824
  5. Step 5: Solve for x
    x = 44,197,493,824/133,776
  6. Step 6: Final answer
    x = 330,384.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.