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Finding the Third Proportional to 144,906 and 224,186

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Solution

The third proportional to 144,906 and 224,186 is: 346,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906 : 224,186 = 224,186 : x
  2. Step 2: Convert to fraction form
    144,906/224,186 = 224,186/x
  3. Step 3: Cross multiply
    144,906x = 224,186 × 224,186
  4. Step 4: Simplify right side
    144,906x = 50,259,362,596
  5. Step 5: Solve for x
    x = 50,259,362,596/144,906
  6. Step 6: Final answer
    x = 346,841.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.