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Finding the Third Proportional to 150,925.50 and 238,785.75

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Solution

The third proportional to 150,925.50 and 238,785.75 is: 377,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,925.50 : 238,785.75 = 238,785.75 : x
  2. Step 2: Convert to fraction form
    150,925.50/238,785.75 = 238,785.75/x
  3. Step 3: Cross multiply
    150,925.50x = 238,785.75 × 238,785.75
  4. Step 4: Simplify right side
    150,925.50x = 57,018,634,403.06
  5. Step 5: Solve for x
    x = 57,018,634,403.06/150,925.50
  6. Step 6: Final answer
    x = 377,793.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.