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Finding the Third Proportional to 120,230 and 257,136

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Solution

The third proportional to 120,230 and 257,136 is: 549,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,230 : 257,136 = 257,136 : x
  2. Step 2: Convert to fraction form
    120,230/257,136 = 257,136/x
  3. Step 3: Cross multiply
    120,230x = 257,136 × 257,136
  4. Step 4: Simplify right side
    120,230x = 66,118,922,496
  5. Step 5: Solve for x
    x = 66,118,922,496/120,230
  6. Step 6: Final answer
    x = 549,936.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.