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Finding the Third Proportional to 104,310 and 223,386

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Solution

The third proportional to 104,310 and 223,386 is: 478,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,310 : 223,386 = 223,386 : x
  2. Step 2: Convert to fraction form
    104,310/223,386 = 223,386/x
  3. Step 3: Cross multiply
    104,310x = 223,386 × 223,386
  4. Step 4: Simplify right side
    104,310x = 49,901,304,996
  5. Step 5: Solve for x
    x = 49,901,304,996/104,310
  6. Step 6: Final answer
    x = 478,394.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.