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Finding the Third Proportional to 167,695 and 253,709

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Solution

The third proportional to 167,695 and 253,709 is: 383,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,695 : 253,709 = 253,709 : x
  2. Step 2: Convert to fraction form
    167,695/253,709 = 253,709/x
  3. Step 3: Cross multiply
    167,695x = 253,709 × 253,709
  4. Step 4: Simplify right side
    167,695x = 64,368,256,681
  5. Step 5: Solve for x
    x = 64,368,256,681/167,695
  6. Step 6: Final answer
    x = 383,841.24

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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.