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Finding the Third Proportional to 161,868 and 245,059.50

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Solution

The third proportional to 161,868 and 245,059.50 is: 371,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,868 : 245,059.50 = 245,059.50 : x
  2. Step 2: Convert to fraction form
    161,868/245,059.50 = 245,059.50/x
  3. Step 3: Cross multiply
    161,868x = 245,059.50 × 245,059.50
  4. Step 4: Simplify right side
    161,868x = 60,054,158,540.25
  5. Step 5: Solve for x
    x = 60,054,158,540.25/161,868
  6. Step 6: Final answer
    x = 371,006.98

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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.