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Finding the Third Proportional to 160,812 and 240,003

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Solution

The third proportional to 160,812 and 240,003 is: 358,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,812 : 240,003 = 240,003 : x
  2. Step 2: Convert to fraction form
    160,812/240,003 = 240,003/x
  3. Step 3: Cross multiply
    160,812x = 240,003 × 240,003
  4. Step 4: Simplify right side
    160,812x = 57,601,440,009
  5. Step 5: Solve for x
    x = 57,601,440,009/160,812
  6. Step 6: Final answer
    x = 358,191.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.