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Finding the Third Proportional to 114,217 and 167,429

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Solution

The third proportional to 114,217 and 167,429 is: 245,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,217 : 167,429 = 167,429 : x
  2. Step 2: Convert to fraction form
    114,217/167,429 = 167,429/x
  3. Step 3: Cross multiply
    114,217x = 167,429 × 167,429
  4. Step 4: Simplify right side
    114,217x = 28,032,470,041
  5. Step 5: Solve for x
    x = 28,032,470,041/114,217
  6. Step 6: Final answer
    x = 245,431.68

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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.