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Finding the Third Proportional to 174,938 and 367,501

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Solution

The third proportional to 174,938 and 367,501 is: 772,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,938 : 367,501 = 367,501 : x
  2. Step 2: Convert to fraction form
    174,938/367,501 = 367,501/x
  3. Step 3: Cross multiply
    174,938x = 367,501 × 367,501
  4. Step 4: Simplify right side
    174,938x = 135,056,985,001
  5. Step 5: Solve for x
    x = 135,056,985,001/174,938
  6. Step 6: Final answer
    x = 772,027.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.