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Finding the Third Proportional to 113,398 and 248,342

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Solution

The third proportional to 113,398 and 248,342 is: 543,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,398 : 248,342 = 248,342 : x
  2. Step 2: Convert to fraction form
    113,398/248,342 = 248,342/x
  3. Step 3: Cross multiply
    113,398x = 248,342 × 248,342
  4. Step 4: Simplify right side
    113,398x = 61,673,748,964
  5. Step 5: Solve for x
    x = 61,673,748,964/113,398
  6. Step 6: Final answer
    x = 543,869.81

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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.