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Finding the Third Proportional to 295,158 and 446,253

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Solution

The third proportional to 295,158 and 446,253 is: 674,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,158 : 446,253 = 446,253 : x
  2. Step 2: Convert to fraction form
    295,158/446,253 = 446,253/x
  3. Step 3: Cross multiply
    295,158x = 446,253 × 446,253
  4. Step 4: Simplify right side
    295,158x = 199,141,740,009
  5. Step 5: Solve for x
    x = 199,141,740,009/295,158
  6. Step 6: Final answer
    x = 674,695.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.