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Finding the Third Proportional to 146,776 and 211,902

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Solution

The third proportional to 146,776 and 211,902 is: 305,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,776 : 211,902 = 211,902 : x
  2. Step 2: Convert to fraction form
    146,776/211,902 = 211,902/x
  3. Step 3: Cross multiply
    146,776x = 211,902 × 211,902
  4. Step 4: Simplify right side
    146,776x = 44,902,457,604
  5. Step 5: Solve for x
    x = 44,902,457,604/146,776
  6. Step 6: Final answer
    x = 305,925.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.