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Finding the Third Proportional to 238,296 and 371,511

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Solution

The third proportional to 238,296 and 371,511 is: 579,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,296 : 371,511 = 371,511 : x
  2. Step 2: Convert to fraction form
    238,296/371,511 = 371,511/x
  3. Step 3: Cross multiply
    238,296x = 371,511 × 371,511
  4. Step 4: Simplify right side
    238,296x = 138,020,423,121
  5. Step 5: Solve for x
    x = 138,020,423,121/238,296
  6. Step 6: Final answer
    x = 579,197.40

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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.