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Finding the Third Proportional to 168,224 and 249,906

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Solution

The third proportional to 168,224 and 249,906 is: 371,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,224 : 249,906 = 249,906 : x
  2. Step 2: Convert to fraction form
    168,224/249,906 = 249,906/x
  3. Step 3: Cross multiply
    168,224x = 249,906 × 249,906
  4. Step 4: Simplify right side
    168,224x = 62,453,008,836
  5. Step 5: Solve for x
    x = 62,453,008,836/168,224
  6. Step 6: Final answer
    x = 371,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.