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Finding the Third Proportional to 191,602.50 and 290,054.25

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Solution

The third proportional to 191,602.50 and 290,054.25 is: 439,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,602.50 : 290,054.25 = 290,054.25 : x
  2. Step 2: Convert to fraction form
    191,602.50/290,054.25 = 290,054.25/x
  3. Step 3: Cross multiply
    191,602.50x = 290,054.25 × 290,054.25
  4. Step 4: Simplify right side
    191,602.50x = 84,131,467,943.06
  5. Step 5: Solve for x
    x = 84,131,467,943.06/191,602.50
  6. Step 6: Final answer
    x = 439,093.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.