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Finding the Third Proportional to 251,136 and 542,106

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Solution

The third proportional to 251,136 and 542,106 is: 1,170,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,136 : 542,106 = 542,106 : x
  2. Step 2: Convert to fraction form
    251,136/542,106 = 542,106/x
  3. Step 3: Cross multiply
    251,136x = 542,106 × 542,106
  4. Step 4: Simplify right side
    251,136x = 293,878,915,236
  5. Step 5: Solve for x
    x = 293,878,915,236/251,136
  6. Step 6: Final answer
    x = 1,170,198.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.