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Finding the Third Proportional to 182,133 and 373,284

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Solution

The third proportional to 182,133 and 373,284 is: 765,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,133 : 373,284 = 373,284 : x
  2. Step 2: Convert to fraction form
    182,133/373,284 = 373,284/x
  3. Step 3: Cross multiply
    182,133x = 373,284 × 373,284
  4. Step 4: Simplify right side
    182,133x = 139,340,944,656
  5. Step 5: Solve for x
    x = 139,340,944,656/182,133
  6. Step 6: Final answer
    x = 765,050.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.