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Finding the Third Proportional to 152,610 and 236,583

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Solution

The third proportional to 152,610 and 236,583 is: 366,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,610 : 236,583 = 236,583 : x
  2. Step 2: Convert to fraction form
    152,610/236,583 = 236,583/x
  3. Step 3: Cross multiply
    152,610x = 236,583 × 236,583
  4. Step 4: Simplify right side
    152,610x = 55,971,515,889
  5. Step 5: Solve for x
    x = 55,971,515,889/152,610
  6. Step 6: Final answer
    x = 366,761.78

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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.