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Finding the Third Proportional to 153,054 and 237,885

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Solution

The third proportional to 153,054 and 237,885 is: 369,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,054 : 237,885 = 237,885 : x
  2. Step 2: Convert to fraction form
    153,054/237,885 = 237,885/x
  3. Step 3: Cross multiply
    153,054x = 237,885 × 237,885
  4. Step 4: Simplify right side
    153,054x = 56,589,273,225
  5. Step 5: Solve for x
    x = 56,589,273,225/153,054
  6. Step 6: Final answer
    x = 369,734.04

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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.