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Finding the Third Proportional to 117,291 and 253,180.50

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Solution

The third proportional to 117,291 and 253,180.50 is: 546,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,291 : 253,180.50 = 253,180.50 : x
  2. Step 2: Convert to fraction form
    117,291/253,180.50 = 253,180.50/x
  3. Step 3: Cross multiply
    117,291x = 253,180.50 × 253,180.50
  4. Step 4: Simplify right side
    117,291x = 64,100,365,580.25
  5. Step 5: Solve for x
    x = 64,100,365,580.25/117,291
  6. Step 6: Final answer
    x = 546,507.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.