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Finding the Third Proportional to 145,074.25 and 221,904.50

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Solution

The third proportional to 145,074.25 and 221,904.50 is: 339,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,074.25 : 221,904.50 = 221,904.50 : x
  2. Step 2: Convert to fraction form
    145,074.25/221,904.50 = 221,904.50/x
  3. Step 3: Cross multiply
    145,074.25x = 221,904.50 × 221,904.50
  4. Step 4: Simplify right side
    145,074.25x = 49,241,607,120.25
  5. Step 5: Solve for x
    x = 49,241,607,120.25/145,074.25
  6. Step 6: Final answer
    x = 339,423.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.