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Finding the Third Proportional to 158,592.94 and 237,838.78

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Solution

The third proportional to 158,592.94 and 237,838.78 is: 356,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,592.94 : 237,838.78 = 237,838.78 : x
  2. Step 2: Convert to fraction form
    158,592.94/237,838.78 = 237,838.78/x
  3. Step 3: Cross multiply
    158,592.94x = 237,838.78 × 237,838.78
  4. Step 4: Simplify right side
    158,592.94x = 56,567,285,866.49
  5. Step 5: Solve for x
    x = 56,567,285,866.49/158,592.94
  6. Step 6: Final answer
    x = 356,682.25

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Why These Related Problems?

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