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Finding the Third Proportional to 162,378 and 242,907

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Solution

The third proportional to 162,378 and 242,907 is: 363,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,378 : 242,907 = 242,907 : x
  2. Step 2: Convert to fraction form
    162,378/242,907 = 242,907/x
  3. Step 3: Cross multiply
    162,378x = 242,907 × 242,907
  4. Step 4: Simplify right side
    162,378x = 59,003,810,649
  5. Step 5: Solve for x
    x = 59,003,810,649/162,378
  6. Step 6: Final answer
    x = 363,373.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.