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Finding the Third Proportional to 162,747 and 352,253.25

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Solution

The third proportional to 162,747 and 352,253.25 is: 762,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,747 : 352,253.25 = 352,253.25 : x
  2. Step 2: Convert to fraction form
    162,747/352,253.25 = 352,253.25/x
  3. Step 3: Cross multiply
    162,747x = 352,253.25 × 352,253.25
  4. Step 4: Simplify right side
    162,747x = 124,082,352,135.56
  5. Step 5: Solve for x
    x = 124,082,352,135.56/162,747
  6. Step 6: Final answer
    x = 762,424.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.