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Finding the Third Proportional to 145,144.50 and 219,904.50

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Solution

The third proportional to 145,144.50 and 219,904.50 is: 333,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.50 : 219,904.50 = 219,904.50 : x
  2. Step 2: Convert to fraction form
    145,144.50/219,904.50 = 219,904.50/x
  3. Step 3: Cross multiply
    145,144.50x = 219,904.50 × 219,904.50
  4. Step 4: Simplify right side
    145,144.50x = 48,357,989,120.25
  5. Step 5: Solve for x
    x = 48,357,989,120.25/145,144.50
  6. Step 6: Final answer
    x = 333,171.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.