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Finding the Third Proportional to 178,807.50 and 250,614

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Solution

The third proportional to 178,807.50 and 250,614 is: 351,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,807.50 : 250,614 = 250,614 : x
  2. Step 2: Convert to fraction form
    178,807.50/250,614 = 250,614/x
  3. Step 3: Cross multiply
    178,807.50x = 250,614 × 250,614
  4. Step 4: Simplify right side
    178,807.50x = 62,807,376,996
  5. Step 5: Solve for x
    x = 62,807,376,996/178,807.50
  6. Step 6: Final answer
    x = 351,256.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.