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Finding the Third Proportional to 116,210 and 255,748

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Solution

The third proportional to 116,210 and 255,748 is: 562,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,210 : 255,748 = 255,748 : x
  2. Step 2: Convert to fraction form
    116,210/255,748 = 255,748/x
  3. Step 3: Cross multiply
    116,210x = 255,748 × 255,748
  4. Step 4: Simplify right side
    116,210x = 65,407,039,504
  5. Step 5: Solve for x
    x = 65,407,039,504/116,210
  6. Step 6: Final answer
    x = 562,834.86

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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.