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Finding the Third Proportional to 102,957 and 225,597

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Solution

The third proportional to 102,957 and 225,597 is: 494,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,957 : 225,597 = 225,597 : x
  2. Step 2: Convert to fraction form
    102,957/225,597 = 225,597/x
  3. Step 3: Cross multiply
    102,957x = 225,597 × 225,597
  4. Step 4: Simplify right side
    102,957x = 50,894,006,409
  5. Step 5: Solve for x
    x = 50,894,006,409/102,957
  6. Step 6: Final answer
    x = 494,322.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.