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Finding the Third Proportional to 232,843.50 and 510,399

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Solution

The third proportional to 232,843.50 and 510,399 is: 1,118,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,843.50 : 510,399 = 510,399 : x
  2. Step 2: Convert to fraction form
    232,843.50/510,399 = 510,399/x
  3. Step 3: Cross multiply
    232,843.50x = 510,399 × 510,399
  4. Step 4: Simplify right side
    232,843.50x = 260,507,139,201
  5. Step 5: Solve for x
    x = 260,507,139,201/232,843.50
  6. Step 6: Final answer
    x = 1,118,807.87

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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.