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Finding the Third Proportional to 149,454 and 222,063.50

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Solution

The third proportional to 149,454 and 222,063.50 is: 329,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,454 : 222,063.50 = 222,063.50 : x
  2. Step 2: Convert to fraction form
    149,454/222,063.50 = 222,063.50/x
  3. Step 3: Cross multiply
    149,454x = 222,063.50 × 222,063.50
  4. Step 4: Simplify right side
    149,454x = 49,312,198,032.25
  5. Step 5: Solve for x
    x = 49,312,198,032.25/149,454
  6. Step 6: Final answer
    x = 329,949.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.