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Finding the Third Proportional to 180,051 and 392,500

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Solution

The third proportional to 180,051 and 392,500 is: 855,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,051 : 392,500 = 392,500 : x
  2. Step 2: Convert to fraction form
    180,051/392,500 = 392,500/x
  3. Step 3: Cross multiply
    180,051x = 392,500 × 392,500
  4. Step 4: Simplify right side
    180,051x = 154,056,250,000
  5. Step 5: Solve for x
    x = 154,056,250,000/180,051
  6. Step 6: Final answer
    x = 855,625.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.