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Finding the Third Proportional to 164,096 and 245,870.25

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Solution

The third proportional to 164,096 and 245,870.25 is: 368,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096 : 245,870.25 = 245,870.25 : x
  2. Step 2: Convert to fraction form
    164,096/245,870.25 = 245,870.25/x
  3. Step 3: Cross multiply
    164,096x = 245,870.25 × 245,870.25
  4. Step 4: Simplify right side
    164,096x = 60,452,179,835.06
  5. Step 5: Solve for x
    x = 60,452,179,835.06/164,096
  6. Step 6: Final answer
    x = 368,395.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.