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Finding the Third Proportional to 202,556 and 436,513

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Solution

The third proportional to 202,556 and 436,513 is: 940,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,556 : 436,513 = 436,513 : x
  2. Step 2: Convert to fraction form
    202,556/436,513 = 436,513/x
  3. Step 3: Cross multiply
    202,556x = 436,513 × 436,513
  4. Step 4: Simplify right side
    202,556x = 190,543,599,169
  5. Step 5: Solve for x
    x = 190,543,599,169/202,556
  6. Step 6: Final answer
    x = 940,695.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.