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Finding the Third Proportional to 133,268 and 314,600

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Solution

The third proportional to 133,268 and 314,600 is: 742,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,268 : 314,600 = 314,600 : x
  2. Step 2: Convert to fraction form
    133,268/314,600 = 314,600/x
  3. Step 3: Cross multiply
    133,268x = 314,600 × 314,600
  4. Step 4: Simplify right side
    133,268x = 98,973,160,000
  5. Step 5: Solve for x
    x = 98,973,160,000/133,268
  6. Step 6: Final answer
    x = 742,662.60

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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.