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Finding the Third Proportional to 158,136 and 231,613.50

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Solution

The third proportional to 158,136 and 231,613.50 is: 339,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,136 : 231,613.50 = 231,613.50 : x
  2. Step 2: Convert to fraction form
    158,136/231,613.50 = 231,613.50/x
  3. Step 3: Cross multiply
    158,136x = 231,613.50 × 231,613.50
  4. Step 4: Simplify right side
    158,136x = 53,644,813,382.25
  5. Step 5: Solve for x
    x = 53,644,813,382.25/158,136
  6. Step 6: Final answer
    x = 339,232.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.