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Finding the Third Proportional to 79,490 and 174,532

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Solution

The third proportional to 79,490 and 174,532 is: 383,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,490 : 174,532 = 174,532 : x
  2. Step 2: Convert to fraction form
    79,490/174,532 = 174,532/x
  3. Step 3: Cross multiply
    79,490x = 174,532 × 174,532
  4. Step 4: Simplify right side
    79,490x = 30,461,419,024
  5. Step 5: Solve for x
    x = 30,461,419,024/79,490
  6. Step 6: Final answer
    x = 383,210.71

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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.