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Finding the Third Proportional to 174,726 and 261,815

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Solution

The third proportional to 174,726 and 261,815 is: 392,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,726 : 261,815 = 261,815 : x
  2. Step 2: Convert to fraction form
    174,726/261,815 = 261,815/x
  3. Step 3: Cross multiply
    174,726x = 261,815 × 261,815
  4. Step 4: Simplify right side
    174,726x = 68,547,094,225
  5. Step 5: Solve for x
    x = 68,547,094,225/174,726
  6. Step 6: Final answer
    x = 392,311.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.