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Finding the Third Proportional to 113,460 and 248,736

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Solution

The third proportional to 113,460 and 248,736 is: 545,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,460 : 248,736 = 248,736 : x
  2. Step 2: Convert to fraction form
    113,460/248,736 = 248,736/x
  3. Step 3: Cross multiply
    113,460x = 248,736 × 248,736
  4. Step 4: Simplify right side
    113,460x = 61,869,597,696
  5. Step 5: Solve for x
    x = 61,869,597,696/113,460
  6. Step 6: Final answer
    x = 545,298.76

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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.