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Finding the Third Proportional to 237,125 and 355,694

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Solution

The third proportional to 237,125 and 355,694 is: 533,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,125 : 355,694 = 355,694 : x
  2. Step 2: Convert to fraction form
    237,125/355,694 = 355,694/x
  3. Step 3: Cross multiply
    237,125x = 355,694 × 355,694
  4. Step 4: Simplify right side
    237,125x = 126,518,221,636
  5. Step 5: Solve for x
    x = 126,518,221,636/237,125
  6. Step 6: Final answer
    x = 533,550.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.