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Finding the Third Proportional to 163,612 and 350,532

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Solution

The third proportional to 163,612 and 350,532 is: 751,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,612 : 350,532 = 350,532 : x
  2. Step 2: Convert to fraction form
    163,612/350,532 = 350,532/x
  3. Step 3: Cross multiply
    163,612x = 350,532 × 350,532
  4. Step 4: Simplify right side
    163,612x = 122,872,683,024
  5. Step 5: Solve for x
    x = 122,872,683,024/163,612
  6. Step 6: Final answer
    x = 751,000.43

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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.