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Finding the Third Proportional to 152,646 and 224,395

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Solution

The third proportional to 152,646 and 224,395 is: 329,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,646 : 224,395 = 224,395 : x
  2. Step 2: Convert to fraction form
    152,646/224,395 = 224,395/x
  3. Step 3: Cross multiply
    152,646x = 224,395 × 224,395
  4. Step 4: Simplify right side
    152,646x = 50,353,116,025
  5. Step 5: Solve for x
    x = 50,353,116,025/152,646
  6. Step 6: Final answer
    x = 329,868.56

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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.