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Finding the Third Proportional to 180,580.50 and 241,587

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Solution

The third proportional to 180,580.50 and 241,587 is: 323,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,580.50 : 241,587 = 241,587 : x
  2. Step 2: Convert to fraction form
    180,580.50/241,587 = 241,587/x
  3. Step 3: Cross multiply
    180,580.50x = 241,587 × 241,587
  4. Step 4: Simplify right side
    180,580.50x = 58,364,278,569
  5. Step 5: Solve for x
    x = 58,364,278,569/180,580.50
  6. Step 6: Final answer
    x = 323,203.66

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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.