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Finding the Third Proportional to 118,513.13 and 258,329.25

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Solution

The third proportional to 118,513.13 and 258,329.25 is: 563,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,513.13 : 258,329.25 = 258,329.25 : x
  2. Step 2: Convert to fraction form
    118,513.13/258,329.25 = 258,329.25/x
  3. Step 3: Cross multiply
    118,513.13x = 258,329.25 × 258,329.25
  4. Step 4: Simplify right side
    118,513.13x = 66,734,001,405.56
  5. Step 5: Solve for x
    x = 66,734,001,405.56/118,513.13
  6. Step 6: Final answer
    x = 563,093.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.