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Finding the Third Proportional to 133,359.75 and 314,809.88

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Solution

The third proportional to 133,359.75 and 314,809.88 is: 743,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,359.75 : 314,809.88 = 314,809.88 : x
  2. Step 2: Convert to fraction form
    133,359.75/314,809.88 = 314,809.88/x
  3. Step 3: Cross multiply
    133,359.75x = 314,809.88 × 314,809.88
  4. Step 4: Simplify right side
    133,359.75x = 99,105,257,397.52
  5. Step 5: Solve for x
    x = 99,105,257,397.52/133,359.75
  6. Step 6: Final answer
    x = 743,142.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.