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Finding the Third Proportional to 114,762 and 248,581

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Solution

The third proportional to 114,762 and 248,581 is: 538,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,762 : 248,581 = 248,581 : x
  2. Step 2: Convert to fraction form
    114,762/248,581 = 248,581/x
  3. Step 3: Cross multiply
    114,762x = 248,581 × 248,581
  4. Step 4: Simplify right side
    114,762x = 61,792,513,561
  5. Step 5: Solve for x
    x = 61,792,513,561/114,762
  6. Step 6: Final answer
    x = 538,440.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.