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Finding the Third Proportional to 178,449 and 401,830.50

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Solution

The third proportional to 178,449 and 401,830.50 is: 904,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,449 : 401,830.50 = 401,830.50 : x
  2. Step 2: Convert to fraction form
    178,449/401,830.50 = 401,830.50/x
  3. Step 3: Cross multiply
    178,449x = 401,830.50 × 401,830.50
  4. Step 4: Simplify right side
    178,449x = 161,467,750,730.25
  5. Step 5: Solve for x
    x = 161,467,750,730.25/178,449
  6. Step 6: Final answer
    x = 904,839.76

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.