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Finding the Third Proportional to 180,702 and 241,488

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Solution

The third proportional to 180,702 and 241,488 is: 322,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,702 : 241,488 = 241,488 : x
  2. Step 2: Convert to fraction form
    180,702/241,488 = 241,488/x
  3. Step 3: Cross multiply
    180,702x = 241,488 × 241,488
  4. Step 4: Simplify right side
    180,702x = 58,316,454,144
  5. Step 5: Solve for x
    x = 58,316,454,144/180,702
  6. Step 6: Final answer
    x = 322,721.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.