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Finding the Third Proportional to 241,166.50 and 523,850

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Solution

The third proportional to 241,166.50 and 523,850 is: 1,137,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,166.50 : 523,850 = 523,850 : x
  2. Step 2: Convert to fraction form
    241,166.50/523,850 = 523,850/x
  3. Step 3: Cross multiply
    241,166.50x = 523,850 × 523,850
  4. Step 4: Simplify right side
    241,166.50x = 274,418,822,500
  5. Step 5: Solve for x
    x = 274,418,822,500/241,166.50
  6. Step 6: Final answer
    x = 1,137,881.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.