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Finding the Third Proportional to 225,280 and 304,090

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Solution

The third proportional to 225,280 and 304,090 is: 410,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,280 : 304,090 = 304,090 : x
  2. Step 2: Convert to fraction form
    225,280/304,090 = 304,090/x
  3. Step 3: Cross multiply
    225,280x = 304,090 × 304,090
  4. Step 4: Simplify right side
    225,280x = 92,470,728,100
  5. Step 5: Solve for x
    x = 92,470,728,100/225,280
  6. Step 6: Final answer
    x = 410,470.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.