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Finding the Third Proportional to 148,473 and 211,546.69

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Solution

The third proportional to 148,473 and 211,546.69 is: 301,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,473 : 211,546.69 = 211,546.69 : x
  2. Step 2: Convert to fraction form
    148,473/211,546.69 = 211,546.69/x
  3. Step 3: Cross multiply
    148,473x = 211,546.69 × 211,546.69
  4. Step 4: Simplify right side
    148,473x = 44,752,000,992.22
  5. Step 5: Solve for x
    x = 44,752,000,992.22/148,473
  6. Step 6: Final answer
    x = 301,415.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.