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Finding the Third Proportional to 172,894.50 and 376,083

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Solution

The third proportional to 172,894.50 and 376,083 is: 818,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,894.50 : 376,083 = 376,083 : x
  2. Step 2: Convert to fraction form
    172,894.50/376,083 = 376,083/x
  3. Step 3: Cross multiply
    172,894.50x = 376,083 × 376,083
  4. Step 4: Simplify right side
    172,894.50x = 141,438,422,889
  5. Step 5: Solve for x
    x = 141,438,422,889/172,894.50
  6. Step 6: Final answer
    x = 818,062.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.