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Finding the Third Proportional to 174,684 and 277,050

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Solution

The third proportional to 174,684 and 277,050 is: 439,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,684 : 277,050 = 277,050 : x
  2. Step 2: Convert to fraction form
    174,684/277,050 = 277,050/x
  3. Step 3: Cross multiply
    174,684x = 277,050 × 277,050
  4. Step 4: Simplify right side
    174,684x = 76,756,702,500
  5. Step 5: Solve for x
    x = 76,756,702,500/174,684
  6. Step 6: Final answer
    x = 439,403.17

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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.