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Finding the Third Proportional to 294,153.50 and 414,226.50

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Solution

The third proportional to 294,153.50 and 414,226.50 is: 583,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,153.50 : 414,226.50 = 414,226.50 : x
  2. Step 2: Convert to fraction form
    294,153.50/414,226.50 = 414,226.50/x
  3. Step 3: Cross multiply
    294,153.50x = 414,226.50 × 414,226.50
  4. Step 4: Simplify right side
    294,153.50x = 171,583,593,302.25
  5. Step 5: Solve for x
    x = 171,583,593,302.25/294,153.50
  6. Step 6: Final answer
    x = 583,313.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.