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Finding the Third Proportional to 102,264 and 223,473

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Solution

The third proportional to 102,264 and 223,473 is: 488,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 223,473 = 223,473 : x
  2. Step 2: Convert to fraction form
    102,264/223,473 = 223,473/x
  3. Step 3: Cross multiply
    102,264x = 223,473 × 223,473
  4. Step 4: Simplify right side
    102,264x = 49,940,181,729
  5. Step 5: Solve for x
    x = 49,940,181,729/102,264
  6. Step 6: Final answer
    x = 488,345.67

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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.