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Finding the Third Proportional to 174,726 and 277,101

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Solution

The third proportional to 174,726 and 277,101 is: 439,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,726 : 277,101 = 277,101 : x
  2. Step 2: Convert to fraction form
    174,726/277,101 = 277,101/x
  3. Step 3: Cross multiply
    174,726x = 277,101 × 277,101
  4. Step 4: Simplify right side
    174,726x = 76,784,964,201
  5. Step 5: Solve for x
    x = 76,784,964,201/174,726
  6. Step 6: Final answer
    x = 439,459.29

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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.