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Finding the Third Proportional to 174,897 and 376,548.75

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Solution

The third proportional to 174,897 and 376,548.75 is: 810,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,897 : 376,548.75 = 376,548.75 : x
  2. Step 2: Convert to fraction form
    174,897/376,548.75 = 376,548.75/x
  3. Step 3: Cross multiply
    174,897x = 376,548.75 × 376,548.75
  4. Step 4: Simplify right side
    174,897x = 141,788,961,126.56
  5. Step 5: Solve for x
    x = 141,788,961,126.56/174,897
  6. Step 6: Final answer
    x = 810,699.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.