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Finding the Third Proportional to 149,901.75 and 319,224

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Solution

The third proportional to 149,901.75 and 319,224 is: 679,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,901.75 : 319,224 = 319,224 : x
  2. Step 2: Convert to fraction form
    149,901.75/319,224 = 319,224/x
  3. Step 3: Cross multiply
    149,901.75x = 319,224 × 319,224
  4. Step 4: Simplify right side
    149,901.75x = 101,903,962,176
  5. Step 5: Solve for x
    x = 101,903,962,176/149,901.75
  6. Step 6: Final answer
    x = 679,805.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.