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Finding the Third Proportional to 178,002 and 237,777.75

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Solution

The third proportional to 178,002 and 237,777.75 is: 317,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002 : 237,777.75 = 237,777.75 : x
  2. Step 2: Convert to fraction form
    178,002/237,777.75 = 237,777.75/x
  3. Step 3: Cross multiply
    178,002x = 237,777.75 × 237,777.75
  4. Step 4: Simplify right side
    178,002x = 56,538,258,395.06
  5. Step 5: Solve for x
    x = 56,538,258,395.06/178,002
  6. Step 6: Final answer
    x = 317,627.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.