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Finding the Third Proportional to 159,808.50 and 355,088

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Solution

The third proportional to 159,808.50 and 355,088 is: 788,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,808.50 : 355,088 = 355,088 : x
  2. Step 2: Convert to fraction form
    159,808.50/355,088 = 355,088/x
  3. Step 3: Cross multiply
    159,808.50x = 355,088 × 355,088
  4. Step 4: Simplify right side
    159,808.50x = 126,087,487,744
  5. Step 5: Solve for x
    x = 126,087,487,744/159,808.50
  6. Step 6: Final answer
    x = 788,991.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.