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Finding the Third Proportional to 117,294 and 251,196.50

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Solution

The third proportional to 117,294 and 251,196.50 is: 537,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,294 : 251,196.50 = 251,196.50 : x
  2. Step 2: Convert to fraction form
    117,294/251,196.50 = 251,196.50/x
  3. Step 3: Cross multiply
    117,294x = 251,196.50 × 251,196.50
  4. Step 4: Simplify right side
    117,294x = 63,099,681,612.25
  5. Step 5: Solve for x
    x = 63,099,681,612.25/117,294
  6. Step 6: Final answer
    x = 537,961.72

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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.