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Finding the Third Proportional to 172,974 and 376,240.50

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Solution

The third proportional to 172,974 and 376,240.50 is: 818,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,974 : 376,240.50 = 376,240.50 : x
  2. Step 2: Convert to fraction form
    172,974/376,240.50 = 376,240.50/x
  3. Step 3: Cross multiply
    172,974x = 376,240.50 × 376,240.50
  4. Step 4: Simplify right side
    172,974x = 141,556,913,840.25
  5. Step 5: Solve for x
    x = 141,556,913,840.25/172,974
  6. Step 6: Final answer
    x = 818,371.05

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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.