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Finding the Third Proportional to 116,711 and 256,018.50

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Solution

The third proportional to 116,711 and 256,018.50 is: 561,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,711 : 256,018.50 = 256,018.50 : x
  2. Step 2: Convert to fraction form
    116,711/256,018.50 = 256,018.50/x
  3. Step 3: Cross multiply
    116,711x = 256,018.50 × 256,018.50
  4. Step 4: Simplify right side
    116,711x = 65,545,472,342.25
  5. Step 5: Solve for x
    x = 65,545,472,342.25/116,711
  6. Step 6: Final answer
    x = 561,604.92

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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.