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Finding the Third Proportional to 225,146 and 342,361

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Solution

The third proportional to 225,146 and 342,361 is: 520,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,146 : 342,361 = 342,361 : x
  2. Step 2: Convert to fraction form
    225,146/342,361 = 342,361/x
  3. Step 3: Cross multiply
    225,146x = 342,361 × 342,361
  4. Step 4: Simplify right side
    225,146x = 117,211,054,321
  5. Step 5: Solve for x
    x = 117,211,054,321/225,146
  6. Step 6: Final answer
    x = 520,600.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.