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Finding the Third Proportional to 113,746 and 265,816

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Solution

The third proportional to 113,746 and 265,816 is: 621,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,746 : 265,816 = 265,816 : x
  2. Step 2: Convert to fraction form
    113,746/265,816 = 265,816/x
  3. Step 3: Cross multiply
    113,746x = 265,816 × 265,816
  4. Step 4: Simplify right side
    113,746x = 70,658,145,856
  5. Step 5: Solve for x
    x = 70,658,145,856/113,746
  6. Step 6: Final answer
    x = 621,192.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.