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Finding the Third Proportional to 202,228 and 305,855

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Solution

The third proportional to 202,228 and 305,855 is: 462,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,228 : 305,855 = 305,855 : x
  2. Step 2: Convert to fraction form
    202,228/305,855 = 305,855/x
  3. Step 3: Cross multiply
    202,228x = 305,855 × 305,855
  4. Step 4: Simplify right side
    202,228x = 93,547,281,025
  5. Step 5: Solve for x
    x = 93,547,281,025/202,228
  6. Step 6: Final answer
    x = 462,583.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.