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Finding the Third Proportional to 133,368.75 and 314,822.25

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Solution

The third proportional to 133,368.75 and 314,822.25 is: 743,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,368.75 : 314,822.25 = 314,822.25 : x
  2. Step 2: Convert to fraction form
    133,368.75/314,822.25 = 314,822.25/x
  3. Step 3: Cross multiply
    133,368.75x = 314,822.25 × 314,822.25
  4. Step 4: Simplify right side
    133,368.75x = 99,113,049,095.06
  5. Step 5: Solve for x
    x = 99,113,049,095.06/133,368.75
  6. Step 6: Final answer
    x = 743,150.47

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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.