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Finding the Third Proportional to 237,195 and 369,400.50

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Solution

The third proportional to 237,195 and 369,400.50 is: 575,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,195 : 369,400.50 = 369,400.50 : x
  2. Step 2: Convert to fraction form
    237,195/369,400.50 = 369,400.50/x
  3. Step 3: Cross multiply
    237,195x = 369,400.50 × 369,400.50
  4. Step 4: Simplify right side
    237,195x = 136,456,729,400.25
  5. Step 5: Solve for x
    x = 136,456,729,400.25/237,195
  6. Step 6: Final answer
    x = 575,293.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.