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Finding the Third Proportional to 149,196 and 324,363

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Solution

The third proportional to 149,196 and 324,363 is: 705,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,196 : 324,363 = 324,363 : x
  2. Step 2: Convert to fraction form
    149,196/324,363 = 324,363/x
  3. Step 3: Cross multiply
    149,196x = 324,363 × 324,363
  4. Step 4: Simplify right side
    149,196x = 105,211,355,769
  5. Step 5: Solve for x
    x = 105,211,355,769/149,196
  6. Step 6: Final answer
    x = 705,188.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.