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Finding the Third Proportional to 138,017.25 and 295,986

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Solution

The third proportional to 138,017.25 and 295,986 is: 634,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,017.25 : 295,986 = 295,986 : x
  2. Step 2: Convert to fraction form
    138,017.25/295,986 = 295,986/x
  3. Step 3: Cross multiply
    138,017.25x = 295,986 × 295,986
  4. Step 4: Simplify right side
    138,017.25x = 87,607,712,196
  5. Step 5: Solve for x
    x = 87,607,712,196/138,017.25
  6. Step 6: Final answer
    x = 634,759.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.