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Finding the Third Proportional to 152,950 and 315,732

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Solution

The third proportional to 152,950 and 315,732 is: 651,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,950 : 315,732 = 315,732 : x
  2. Step 2: Convert to fraction form
    152,950/315,732 = 315,732/x
  3. Step 3: Cross multiply
    152,950x = 315,732 × 315,732
  4. Step 4: Simplify right side
    152,950x = 99,686,695,824
  5. Step 5: Solve for x
    x = 99,686,695,824/152,950
  6. Step 6: Final answer
    x = 651,760.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.