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Finding the Third Proportional to 116,417.81 and 255,696.19

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Solution

The third proportional to 116,417.81 and 255,696.19 is: 561,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,417.81 : 255,696.19 = 255,696.19 : x
  2. Step 2: Convert to fraction form
    116,417.81/255,696.19 = 255,696.19/x
  3. Step 3: Cross multiply
    116,417.81x = 255,696.19 × 255,696.19
  4. Step 4: Simplify right side
    116,417.81x = 65,380,540,302.04
  5. Step 5: Solve for x
    x = 65,380,540,302.04/116,417.81
  6. Step 6: Final answer
    x = 561,602.55

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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.