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Finding the Third Proportional to 133,357.50 and 314,801.25

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Solution

The third proportional to 133,357.50 and 314,801.25 is: 743,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,357.50 : 314,801.25 = 314,801.25 : x
  2. Step 2: Convert to fraction form
    133,357.50/314,801.25 = 314,801.25/x
  3. Step 3: Cross multiply
    133,357.50x = 314,801.25 × 314,801.25
  4. Step 4: Simplify right side
    133,357.50x = 99,099,827,001.56
  5. Step 5: Solve for x
    x = 99,099,827,001.56/133,357.50
  6. Step 6: Final answer
    x = 743,114.01

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