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Finding the Third Proportional to 190,397.25 and 451,085.63

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Solution

The third proportional to 190,397.25 and 451,085.63 is: 1,068,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,397.25 : 451,085.63 = 451,085.63 : x
  2. Step 2: Convert to fraction form
    190,397.25/451,085.63 = 451,085.63/x
  3. Step 3: Cross multiply
    190,397.25x = 451,085.63 × 451,085.63
  4. Step 4: Simplify right side
    190,397.25x = 203,478,241,081.64
  5. Step 5: Solve for x
    x = 203,478,241,081.64/190,397.25
  6. Step 6: Final answer
    x = 1,068,703.68

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.