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Finding the Third Proportional to 201,905 and 295,513

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Solution

The third proportional to 201,905 and 295,513 is: 432,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905 : 295,513 = 295,513 : x
  2. Step 2: Convert to fraction form
    201,905/295,513 = 295,513/x
  3. Step 3: Cross multiply
    201,905x = 295,513 × 295,513
  4. Step 4: Simplify right side
    201,905x = 87,327,933,169
  5. Step 5: Solve for x
    x = 87,327,933,169/201,905
  6. Step 6: Final answer
    x = 432,519.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.