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Finding the Third Proportional to 159,217.50 and 232,263

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Solution

The third proportional to 159,217.50 and 232,263 is: 338,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,217.50 : 232,263 = 232,263 : x
  2. Step 2: Convert to fraction form
    159,217.50/232,263 = 232,263/x
  3. Step 3: Cross multiply
    159,217.50x = 232,263 × 232,263
  4. Step 4: Simplify right side
    159,217.50x = 53,946,101,169
  5. Step 5: Solve for x
    x = 53,946,101,169/159,217.50
  6. Step 6: Final answer
    x = 338,820.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.