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Finding the Third Proportional to 116,858.81 and 255,952.13

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Solution

The third proportional to 116,858.81 and 255,952.13 is: 560,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,858.81 : 255,952.13 = 255,952.13 : x
  2. Step 2: Convert to fraction form
    116,858.81/255,952.13 = 255,952.13/x
  3. Step 3: Cross multiply
    116,858.81x = 255,952.13 × 255,952.13
  4. Step 4: Simplify right side
    116,858.81x = 65,511,490,292.02
  5. Step 5: Solve for x
    x = 65,511,490,292.02/116,858.81
  6. Step 6: Final answer
    x = 560,603.77

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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.