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Finding the Third Proportional to 149,110 and 320,466

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Solution

The third proportional to 149,110 and 320,466 is: 688,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,110 : 320,466 = 320,466 : x
  2. Step 2: Convert to fraction form
    149,110/320,466 = 320,466/x
  3. Step 3: Cross multiply
    149,110x = 320,466 × 320,466
  4. Step 4: Simplify right side
    149,110x = 102,698,457,156
  5. Step 5: Solve for x
    x = 102,698,457,156/149,110
  6. Step 6: Final answer
    x = 688,742.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.