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Finding the Third Proportional to 153,181.13 and 237,729.94

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Solution

The third proportional to 153,181.13 and 237,729.94 is: 368,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,181.13 : 237,729.94 = 237,729.94 : x
  2. Step 2: Convert to fraction form
    153,181.13/237,729.94 = 237,729.94/x
  3. Step 3: Cross multiply
    153,181.13x = 237,729.94 × 237,729.94
  4. Step 4: Simplify right side
    153,181.13x = 56,515,523,183.75
  5. Step 5: Solve for x
    x = 56,515,523,183.75/153,181.13
  6. Step 6: Final answer
    x = 368,945.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.