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Finding the Third Proportional to 138,001 and 295,953

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Solution

The third proportional to 138,001 and 295,953 is: 634,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,001 : 295,953 = 295,953 : x
  2. Step 2: Convert to fraction form
    138,001/295,953 = 295,953/x
  3. Step 3: Cross multiply
    138,001x = 295,953 × 295,953
  4. Step 4: Simplify right side
    138,001x = 87,588,178,209
  5. Step 5: Solve for x
    x = 87,588,178,209/138,001
  6. Step 6: Final answer
    x = 634,692.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.