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Finding the Third Proportional to 138,112.50 and 290,156.25

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Solution

The third proportional to 138,112.50 and 290,156.25 is: 609,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,112.50 : 290,156.25 = 290,156.25 : x
  2. Step 2: Convert to fraction form
    138,112.50/290,156.25 = 290,156.25/x
  3. Step 3: Cross multiply
    138,112.50x = 290,156.25 × 290,156.25
  4. Step 4: Simplify right side
    138,112.50x = 84,190,649,414.06
  5. Step 5: Solve for x
    x = 84,190,649,414.06/138,112.50
  6. Step 6: Final answer
    x = 609,580.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.