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Finding the Third Proportional to 153,558 and 236,898

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Solution

The third proportional to 153,558 and 236,898 is: 365,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,558 : 236,898 = 236,898 : x
  2. Step 2: Convert to fraction form
    153,558/236,898 = 236,898/x
  3. Step 3: Cross multiply
    153,558x = 236,898 × 236,898
  4. Step 4: Simplify right side
    153,558x = 56,120,662,404
  5. Step 5: Solve for x
    x = 56,120,662,404/153,558
  6. Step 6: Final answer
    x = 365,468.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.