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Finding the Third Proportional to 74,490.75 and 162,907.38

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Solution

The third proportional to 74,490.75 and 162,907.38 is: 356,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,490.75 : 162,907.38 = 162,907.38 : x
  2. Step 2: Convert to fraction form
    74,490.75/162,907.38 = 162,907.38/x
  3. Step 3: Cross multiply
    74,490.75x = 162,907.38 × 162,907.38
  4. Step 4: Simplify right side
    74,490.75x = 26,538,812,829.39
  5. Step 5: Solve for x
    x = 26,538,812,829.39/74,490.75
  6. Step 6: Final answer
    x = 356,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.