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Finding the Third Proportional to 103,424 and 223,352

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Solution

The third proportional to 103,424 and 223,352 is: 482,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,424 : 223,352 = 223,352 : x
  2. Step 2: Convert to fraction form
    103,424/223,352 = 223,352/x
  3. Step 3: Cross multiply
    103,424x = 223,352 × 223,352
  4. Step 4: Simplify right side
    103,424x = 49,886,115,904
  5. Step 5: Solve for x
    x = 49,886,115,904/103,424
  6. Step 6: Final answer
    x = 482,345.64

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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.