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Finding the Third Proportional to 202,205 and 296,742

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Solution

The third proportional to 202,205 and 296,742 is: 435,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205 : 296,742 = 296,742 : x
  2. Step 2: Convert to fraction form
    202,205/296,742 = 296,742/x
  3. Step 3: Cross multiply
    202,205x = 296,742 × 296,742
  4. Step 4: Simplify right side
    202,205x = 88,055,814,564
  5. Step 5: Solve for x
    x = 88,055,814,564/202,205
  6. Step 6: Final answer
    x = 435,477.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.