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Finding the Third Proportional to 162,828 and 355,032

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Solution

The third proportional to 162,828 and 355,032 is: 774,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,828 : 355,032 = 355,032 : x
  2. Step 2: Convert to fraction form
    162,828/355,032 = 355,032/x
  3. Step 3: Cross multiply
    162,828x = 355,032 × 355,032
  4. Step 4: Simplify right side
    162,828x = 126,047,721,024
  5. Step 5: Solve for x
    x = 126,047,721,024/162,828
  6. Step 6: Final answer
    x = 774,115.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.