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Finding the Third Proportional to 158,210 and 347,532

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Solution

The third proportional to 158,210 and 347,532 is: 763,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,210 : 347,532 = 347,532 : x
  2. Step 2: Convert to fraction form
    158,210/347,532 = 347,532/x
  3. Step 3: Cross multiply
    158,210x = 347,532 × 347,532
  4. Step 4: Simplify right side
    158,210x = 120,778,491,024
  5. Step 5: Solve for x
    x = 120,778,491,024/158,210
  6. Step 6: Final answer
    x = 763,406.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.