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Finding the Third Proportional to 74,253 and 175,224

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Solution

The third proportional to 74,253 and 175,224 is: 413,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,253 : 175,224 = 175,224 : x
  2. Step 2: Convert to fraction form
    74,253/175,224 = 175,224/x
  3. Step 3: Cross multiply
    74,253x = 175,224 × 175,224
  4. Step 4: Simplify right side
    74,253x = 30,703,450,176
  5. Step 5: Solve for x
    x = 30,703,450,176/74,253
  6. Step 6: Final answer
    x = 413,497.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.