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Finding the Third Proportional to 199,184.25 and 466,613.25

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Solution

The third proportional to 199,184.25 and 466,613.25 is: 1,093,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,184.25 : 466,613.25 = 466,613.25 : x
  2. Step 2: Convert to fraction form
    199,184.25/466,613.25 = 466,613.25/x
  3. Step 3: Cross multiply
    199,184.25x = 466,613.25 × 466,613.25
  4. Step 4: Simplify right side
    199,184.25x = 217,727,925,075.56
  5. Step 5: Solve for x
    x = 217,727,925,075.56/199,184.25
  6. Step 6: Final answer
    x = 1,093,098.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.