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Finding the Third Proportional to 161,838.38 and 245,006.63

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Solution

The third proportional to 161,838.38 and 245,006.63 is: 370,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,838.38 : 245,006.63 = 245,006.63 : x
  2. Step 2: Convert to fraction form
    161,838.38/245,006.63 = 245,006.63/x
  3. Step 3: Cross multiply
    161,838.38x = 245,006.63 × 245,006.63
  4. Step 4: Simplify right side
    161,838.38x = 60,028,246,293.89
  5. Step 5: Solve for x
    x = 60,028,246,293.89/161,838.38
  6. Step 6: Final answer
    x = 370,914.79

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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.