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Finding the Third Proportional to 94,532 and 224,810

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Solution

The third proportional to 94,532 and 224,810 is: 534,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532 : 224,810 = 224,810 : x
  2. Step 2: Convert to fraction form
    94,532/224,810 = 224,810/x
  3. Step 3: Cross multiply
    94,532x = 224,810 × 224,810
  4. Step 4: Simplify right side
    94,532x = 50,539,536,100
  5. Step 5: Solve for x
    x = 50,539,536,100/94,532
  6. Step 6: Final answer
    x = 534,628.87

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.