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Finding the Third Proportional to 211,270.50 and 290,551.50

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Solution

The third proportional to 211,270.50 and 290,551.50 is: 399,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,270.50 : 290,551.50 = 290,551.50 : x
  2. Step 2: Convert to fraction form
    211,270.50/290,551.50 = 290,551.50/x
  3. Step 3: Cross multiply
    211,270.50x = 290,551.50 × 290,551.50
  4. Step 4: Simplify right side
    211,270.50x = 84,420,174,152.25
  5. Step 5: Solve for x
    x = 84,420,174,152.25/211,270.50
  6. Step 6: Final answer
    x = 399,583.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.