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Finding the Third Proportional to 103,427 and 223,358

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Solution

The third proportional to 103,427 and 223,358 is: 482,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,427 : 223,358 = 223,358 : x
  2. Step 2: Convert to fraction form
    103,427/223,358 = 223,358/x
  3. Step 3: Cross multiply
    103,427x = 223,358 × 223,358
  4. Step 4: Simplify right side
    103,427x = 49,888,796,164
  5. Step 5: Solve for x
    x = 49,888,796,164/103,427
  6. Step 6: Final answer
    x = 482,357.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.