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Finding the Third Proportional to 162,562 and 239,132

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Solution

The third proportional to 162,562 and 239,132 is: 351,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,562 : 239,132 = 239,132 : x
  2. Step 2: Convert to fraction form
    162,562/239,132 = 239,132/x
  3. Step 3: Cross multiply
    162,562x = 239,132 × 239,132
  4. Step 4: Simplify right side
    162,562x = 57,184,113,424
  5. Step 5: Solve for x
    x = 57,184,113,424/162,562
  6. Step 6: Final answer
    x = 351,768.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.