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Finding the Third Proportional to 224,442 and 374,031

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Solution

The third proportional to 224,442 and 374,031 is: 623,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,442 : 374,031 = 374,031 : x
  2. Step 2: Convert to fraction form
    224,442/374,031 = 374,031/x
  3. Step 3: Cross multiply
    224,442x = 374,031 × 374,031
  4. Step 4: Simplify right side
    224,442x = 139,899,188,961
  5. Step 5: Solve for x
    x = 139,899,188,961/224,442
  6. Step 6: Final answer
    x = 623,320.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.