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Finding the Third Proportional to 93,294 and 239,233.50

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Solution

The third proportional to 93,294 and 239,233.50 is: 613,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,294 : 239,233.50 = 239,233.50 : x
  2. Step 2: Convert to fraction form
    93,294/239,233.50 = 239,233.50/x
  3. Step 3: Cross multiply
    93,294x = 239,233.50 × 239,233.50
  4. Step 4: Simplify right side
    93,294x = 57,232,667,522.25
  5. Step 5: Solve for x
    x = 57,232,667,522.25/93,294
  6. Step 6: Final answer
    x = 613,465.68

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.