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Finding the Third Proportional to 239,307 and 370,500

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Solution

The third proportional to 239,307 and 370,500 is: 573,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,307 : 370,500 = 370,500 : x
  2. Step 2: Convert to fraction form
    239,307/370,500 = 370,500/x
  3. Step 3: Cross multiply
    239,307x = 370,500 × 370,500
  4. Step 4: Simplify right side
    239,307x = 137,270,250,000
  5. Step 5: Solve for x
    x = 137,270,250,000/239,307
  6. Step 6: Final answer
    x = 573,615.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.