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Finding the Third Proportional to 201,210 and 298,362

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Solution

The third proportional to 201,210 and 298,362 is: 442,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210 : 298,362 = 298,362 : x
  2. Step 2: Convert to fraction form
    201,210/298,362 = 298,362/x
  3. Step 3: Cross multiply
    201,210x = 298,362 × 298,362
  4. Step 4: Simplify right side
    201,210x = 89,019,883,044
  5. Step 5: Solve for x
    x = 89,019,883,044/201,210
  6. Step 6: Final answer
    x = 442,422.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.