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Finding the Third Proportional to 116,784.28 and 255,377.81

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Solution

The third proportional to 116,784.28 and 255,377.81 is: 558,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,784.28 : 255,377.81 = 255,377.81 : x
  2. Step 2: Convert to fraction form
    116,784.28/255,377.81 = 255,377.81/x
  3. Step 3: Cross multiply
    116,784.28x = 255,377.81 × 255,377.81
  4. Step 4: Simplify right side
    116,784.28x = 65,217,827,117.29
  5. Step 5: Solve for x
    x = 65,217,827,117.29/116,784.28
  6. Step 6: Final answer
    x = 558,446.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.