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Finding the Third Proportional to 232,905 and 350,524.50

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Solution

The third proportional to 232,905 and 350,524.50 is: 527,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,905 : 350,524.50 = 350,524.50 : x
  2. Step 2: Convert to fraction form
    232,905/350,524.50 = 350,524.50/x
  3. Step 3: Cross multiply
    232,905x = 350,524.50 × 350,524.50
  4. Step 4: Simplify right side
    232,905x = 122,867,425,100.25
  5. Step 5: Solve for x
    x = 122,867,425,100.25/232,905
  6. Step 6: Final answer
    x = 527,543.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.