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Finding the Third Proportional to 158,136 and 246,276

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Solution

The third proportional to 158,136 and 246,276 is: 383,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,136 : 246,276 = 246,276 : x
  2. Step 2: Convert to fraction form
    158,136/246,276 = 246,276/x
  3. Step 3: Cross multiply
    158,136x = 246,276 × 246,276
  4. Step 4: Simplify right side
    158,136x = 60,651,868,176
  5. Step 5: Solve for x
    x = 60,651,868,176/158,136
  6. Step 6: Final answer
    x = 383,542.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.