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Finding the Third Proportional to 174,523 and 376,897

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Solution

The third proportional to 174,523 and 376,897 is: 813,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,523 : 376,897 = 376,897 : x
  2. Step 2: Convert to fraction form
    174,523/376,897 = 376,897/x
  3. Step 3: Cross multiply
    174,523x = 376,897 × 376,897
  4. Step 4: Simplify right side
    174,523x = 142,051,348,609
  5. Step 5: Solve for x
    x = 142,051,348,609/174,523
  6. Step 6: Final answer
    x = 813,940.56

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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.