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Finding the Third Proportional to 148,437 and 350,052.75

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Solution

The third proportional to 148,437 and 350,052.75 is: 825,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,437 : 350,052.75 = 350,052.75 : x
  2. Step 2: Convert to fraction form
    148,437/350,052.75 = 350,052.75/x
  3. Step 3: Cross multiply
    148,437x = 350,052.75 × 350,052.75
  4. Step 4: Simplify right side
    148,437x = 122,536,927,782.56
  5. Step 5: Solve for x
    x = 122,536,927,782.56/148,437
  6. Step 6: Final answer
    x = 825,514.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.