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Finding the Third Proportional to 153,622.50 and 334,171.50

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Solution

The third proportional to 153,622.50 and 334,171.50 is: 726,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,622.50 : 334,171.50 = 334,171.50 : x
  2. Step 2: Convert to fraction form
    153,622.50/334,171.50 = 334,171.50/x
  3. Step 3: Cross multiply
    153,622.50x = 334,171.50 × 334,171.50
  4. Step 4: Simplify right side
    153,622.50x = 111,670,591,412.25
  5. Step 5: Solve for x
    x = 111,670,591,412.25/153,622.50
  6. Step 6: Final answer
    x = 726,915.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.