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Finding the Third Proportional to 174,516 and 276,785

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Solution

The third proportional to 174,516 and 276,785 is: 438,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,516 : 276,785 = 276,785 : x
  2. Step 2: Convert to fraction form
    174,516/276,785 = 276,785/x
  3. Step 3: Cross multiply
    174,516x = 276,785 × 276,785
  4. Step 4: Simplify right side
    174,516x = 76,609,936,225
  5. Step 5: Solve for x
    x = 76,609,936,225/174,516
  6. Step 6: Final answer
    x = 438,985.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.