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Finding the Third Proportional to 155,766 and 236,729

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Solution

The third proportional to 155,766 and 236,729 is: 359,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,766 : 236,729 = 236,729 : x
  2. Step 2: Convert to fraction form
    155,766/236,729 = 236,729/x
  3. Step 3: Cross multiply
    155,766x = 236,729 × 236,729
  4. Step 4: Simplify right side
    155,766x = 56,040,619,441
  5. Step 5: Solve for x
    x = 56,040,619,441/155,766
  6. Step 6: Final answer
    x = 359,774.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.