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Finding the Third Proportional to 155,007 and 367,560

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Solution

The third proportional to 155,007 and 367,560 is: 871,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,007 : 367,560 = 367,560 : x
  2. Step 2: Convert to fraction form
    155,007/367,560 = 367,560/x
  3. Step 3: Cross multiply
    155,007x = 367,560 × 367,560
  4. Step 4: Simplify right side
    155,007x = 135,100,353,600
  5. Step 5: Solve for x
    x = 135,100,353,600/155,007
  6. Step 6: Final answer
    x = 871,575.82

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.