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Finding the Third Proportional to 156.98 and 237.07

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Solution

The third proportional to 156.98 and 237.07 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.98 : 237.07 = 237.07 : x
  2. Step 2: Convert to fraction form
    156.98/237.07 = 237.07/x
  3. Step 3: Cross multiply
    156.98x = 237.07 × 237.07
  4. Step 4: Simplify right side
    156.98x = 56,200.94
  5. Step 5: Solve for x
    x = 56,200.94/156.98
  6. Step 6: Final answer
    x = 358.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.