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Finding the Third Proportional to 113,623 and 247,197

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Solution

The third proportional to 113,623 and 247,197 is: 537,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,623 : 247,197 = 247,197 : x
  2. Step 2: Convert to fraction form
    113,623/247,197 = 247,197/x
  3. Step 3: Cross multiply
    113,623x = 247,197 × 247,197
  4. Step 4: Simplify right side
    113,623x = 61,106,356,809
  5. Step 5: Solve for x
    x = 61,106,356,809/113,623
  6. Step 6: Final answer
    x = 537,799.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.