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Finding the Third Proportional to 168,207 and 253,017

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Solution

The third proportional to 168,207 and 253,017 is: 380,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,207 : 253,017 = 253,017 : x
  2. Step 2: Convert to fraction form
    168,207/253,017 = 253,017/x
  3. Step 3: Cross multiply
    168,207x = 253,017 × 253,017
  4. Step 4: Simplify right side
    168,207x = 64,017,602,289
  5. Step 5: Solve for x
    x = 64,017,602,289/168,207
  6. Step 6: Final answer
    x = 380,588.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.