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Finding the Third Proportional to 116,561 and 255,964

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Solution

The third proportional to 116,561 and 255,964 is: 562,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,561 : 255,964 = 255,964 : x
  2. Step 2: Convert to fraction form
    116,561/255,964 = 255,964/x
  3. Step 3: Cross multiply
    116,561x = 255,964 × 255,964
  4. Step 4: Simplify right side
    116,561x = 65,517,569,296
  5. Step 5: Solve for x
    x = 65,517,569,296/116,561
  6. Step 6: Final answer
    x = 562,088.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.