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Finding the Third Proportional to 162,194.25 and 348,362.25

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Solution

The third proportional to 162,194.25 and 348,362.25 is: 748,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,194.25 : 348,362.25 = 348,362.25 : x
  2. Step 2: Convert to fraction form
    162,194.25/348,362.25 = 348,362.25/x
  3. Step 3: Cross multiply
    162,194.25x = 348,362.25 × 348,362.25
  4. Step 4: Simplify right side
    162,194.25x = 121,356,257,225.06
  5. Step 5: Solve for x
    x = 121,356,257,225.06/162,194.25
  6. Step 6: Final answer
    x = 748,215.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.