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Finding the Third Proportional to 156,633 and 237,136

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Solution

The third proportional to 156,633 and 237,136 is: 359,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,633 : 237,136 = 237,136 : x
  2. Step 2: Convert to fraction form
    156,633/237,136 = 237,136/x
  3. Step 3: Cross multiply
    156,633x = 237,136 × 237,136
  4. Step 4: Simplify right side
    156,633x = 56,233,482,496
  5. Step 5: Solve for x
    x = 56,233,482,496/156,633
  6. Step 6: Final answer
    x = 359,014.27

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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.