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Finding the Third Proportional to 117,488 and 251,594

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Solution

The third proportional to 117,488 and 251,594 is: 538,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,488 : 251,594 = 251,594 : x
  2. Step 2: Convert to fraction form
    117,488/251,594 = 251,594/x
  3. Step 3: Cross multiply
    117,488x = 251,594 × 251,594
  4. Step 4: Simplify right side
    117,488x = 63,299,540,836
  5. Step 5: Solve for x
    x = 63,299,540,836/117,488
  6. Step 6: Final answer
    x = 538,774.52

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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.