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Finding the Third Proportional to 162,090 and 238,942.69

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Solution

The third proportional to 162,090 and 238,942.69 is: 352,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,090 : 238,942.69 = 238,942.69 : x
  2. Step 2: Convert to fraction form
    162,090/238,942.69 = 238,942.69/x
  3. Step 3: Cross multiply
    162,090x = 238,942.69 × 238,942.69
  4. Step 4: Simplify right side
    162,090x = 57,093,607,909.72
  5. Step 5: Solve for x
    x = 57,093,607,909.72/162,090
  6. Step 6: Final answer
    x = 352,233.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.