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Finding the Third Proportional to 159,952.50 and 350,037

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Solution

The third proportional to 159,952.50 and 350,037 is: 766,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,952.50 : 350,037 = 350,037 : x
  2. Step 2: Convert to fraction form
    159,952.50/350,037 = 350,037/x
  3. Step 3: Cross multiply
    159,952.50x = 350,037 × 350,037
  4. Step 4: Simplify right side
    159,952.50x = 122,525,901,369
  5. Step 5: Solve for x
    x = 122,525,901,369/159,952.50
  6. Step 6: Final answer
    x = 766,014.29

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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.