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Finding the Third Proportional to 119,075.91 and 256,847.63

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Solution

The third proportional to 119,075.91 and 256,847.63 is: 554,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,075.91 : 256,847.63 = 256,847.63 : x
  2. Step 2: Convert to fraction form
    119,075.91/256,847.63 = 256,847.63/x
  3. Step 3: Cross multiply
    119,075.91x = 256,847.63 × 256,847.63
  4. Step 4: Simplify right side
    119,075.91x = 65,970,702,468.14
  5. Step 5: Solve for x
    x = 65,970,702,468.14/119,075.91
  6. Step 6: Final answer
    x = 554,022.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.