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Finding the Third Proportional to 133,362.56 and 314,798.91

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Solution

The third proportional to 133,362.56 and 314,798.91 is: 743,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,362.56 : 314,798.91 = 314,798.91 : x
  2. Step 2: Convert to fraction form
    133,362.56/314,798.91 = 314,798.91/x
  3. Step 3: Cross multiply
    133,362.56x = 314,798.91 × 314,798.91
  4. Step 4: Simplify right side
    133,362.56x = 99,098,351,376.20
  5. Step 5: Solve for x
    x = 99,098,351,376.20/133,362.56
  6. Step 6: Final answer
    x = 743,074.74

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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.