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Finding the Third Proportional to 94,112 and 201,344

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Solution

The third proportional to 94,112 and 201,344 is: 430,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,112 : 201,344 = 201,344 : x
  2. Step 2: Convert to fraction form
    94,112/201,344 = 201,344/x
  3. Step 3: Cross multiply
    94,112x = 201,344 × 201,344
  4. Step 4: Simplify right side
    94,112x = 40,539,406,336
  5. Step 5: Solve for x
    x = 40,539,406,336/94,112
  6. Step 6: Final answer
    x = 430,757.04

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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.