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Finding the Third Proportional to 180,690.75 and 264,556.13

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Solution

The third proportional to 180,690.75 and 264,556.13 is: 387,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,690.75 : 264,556.13 = 264,556.13 : x
  2. Step 2: Convert to fraction form
    180,690.75/264,556.13 = 264,556.13/x
  3. Step 3: Cross multiply
    180,690.75x = 264,556.13 × 264,556.13
  4. Step 4: Simplify right side
    180,690.75x = 69,989,943,275.02
  5. Step 5: Solve for x
    x = 69,989,943,275.02/180,690.75
  6. Step 6: Final answer
    x = 387,346.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.