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Finding the Third Proportional to 251,136 and 379,264

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Solution

The third proportional to 251,136 and 379,264 is: 572,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,136 : 379,264 = 379,264 : x
  2. Step 2: Convert to fraction form
    251,136/379,264 = 379,264/x
  3. Step 3: Cross multiply
    251,136x = 379,264 × 379,264
  4. Step 4: Simplify right side
    251,136x = 143,841,181,696
  5. Step 5: Solve for x
    x = 143,841,181,696/251,136
  6. Step 6: Final answer
    x = 572,762.10

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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.