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Finding the Third Proportional to 158,376 and 237,772

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Solution

The third proportional to 158,376 and 237,772 is: 356,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,376 : 237,772 = 237,772 : x
  2. Step 2: Convert to fraction form
    158,376/237,772 = 237,772/x
  3. Step 3: Cross multiply
    158,376x = 237,772 × 237,772
  4. Step 4: Simplify right side
    158,376x = 56,535,523,984
  5. Step 5: Solve for x
    x = 56,535,523,984/158,376
  6. Step 6: Final answer
    x = 356,970.27

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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.