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Finding the Third Proportional to 148,057 and 211,011

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Solution

The third proportional to 148,057 and 211,011 is: 300,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,057 : 211,011 = 211,011 : x
  2. Step 2: Convert to fraction form
    148,057/211,011 = 211,011/x
  3. Step 3: Cross multiply
    148,057x = 211,011 × 211,011
  4. Step 4: Simplify right side
    148,057x = 44,525,642,121
  5. Step 5: Solve for x
    x = 44,525,642,121/148,057
  6. Step 6: Final answer
    x = 300,733.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.