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Finding the Third Proportional to 201,212 and 298,365

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Solution

The third proportional to 201,212 and 298,365 is: 442,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212 : 298,365 = 298,365 : x
  2. Step 2: Convert to fraction form
    201,212/298,365 = 298,365/x
  3. Step 3: Cross multiply
    201,212x = 298,365 × 298,365
  4. Step 4: Simplify right side
    201,212x = 89,021,673,225
  5. Step 5: Solve for x
    x = 89,021,673,225/201,212
  6. Step 6: Final answer
    x = 442,427.26

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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.