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Finding the Third Proportional to 217,259.50 and 341,253

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Solution

The third proportional to 217,259.50 and 341,253 is: 536,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,259.50 : 341,253 = 341,253 : x
  2. Step 2: Convert to fraction form
    217,259.50/341,253 = 341,253/x
  3. Step 3: Cross multiply
    217,259.50x = 341,253 × 341,253
  4. Step 4: Simplify right side
    217,259.50x = 116,453,610,009
  5. Step 5: Solve for x
    x = 116,453,610,009/217,259.50
  6. Step 6: Final answer
    x = 536,011.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.