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Finding the Third Proportional to 118,447.88 and 259,038.56

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Solution

The third proportional to 118,447.88 and 259,038.56 is: 566,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,447.88 : 259,038.56 = 259,038.56 : x
  2. Step 2: Convert to fraction form
    118,447.88/259,038.56 = 259,038.56/x
  3. Step 3: Cross multiply
    118,447.88x = 259,038.56 × 259,038.56
  4. Step 4: Simplify right side
    118,447.88x = 67,100,976,862.07
  5. Step 5: Solve for x
    x = 67,100,976,862.07/118,447.88
  6. Step 6: Final answer
    x = 566,502.16

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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.