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Finding the Third Proportional to 159,955.50 and 350,043

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Solution

The third proportional to 159,955.50 and 350,043 is: 766,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,955.50 : 350,043 = 350,043 : x
  2. Step 2: Convert to fraction form
    159,955.50/350,043 = 350,043/x
  3. Step 3: Cross multiply
    159,955.50x = 350,043 × 350,043
  4. Step 4: Simplify right side
    159,955.50x = 122,530,101,849
  5. Step 5: Solve for x
    x = 122,530,101,849/159,955.50
  6. Step 6: Final answer
    x = 766,026.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.