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Finding the Third Proportional to 145,269.75 and 314,667.75

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Solution

The third proportional to 145,269.75 and 314,667.75 is: 681,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,269.75 : 314,667.75 = 314,667.75 : x
  2. Step 2: Convert to fraction form
    145,269.75/314,667.75 = 314,667.75/x
  3. Step 3: Cross multiply
    145,269.75x = 314,667.75 × 314,667.75
  4. Step 4: Simplify right side
    145,269.75x = 99,015,792,890.06
  5. Step 5: Solve for x
    x = 99,015,792,890.06/145,269.75
  6. Step 6: Final answer
    x = 681,599.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.