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Finding the Third Proportional to 195,144 and 294,253

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Solution

The third proportional to 195,144 and 294,253 is: 443,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,144 : 294,253 = 294,253 : x
  2. Step 2: Convert to fraction form
    195,144/294,253 = 294,253/x
  3. Step 3: Cross multiply
    195,144x = 294,253 × 294,253
  4. Step 4: Simplify right side
    195,144x = 86,584,828,009
  5. Step 5: Solve for x
    x = 86,584,828,009/195,144
  6. Step 6: Final answer
    x = 443,697.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.