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Finding the Third Proportional to 169,068 and 395,139

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Solution

The third proportional to 169,068 and 395,139 is: 923,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,068 : 395,139 = 395,139 : x
  2. Step 2: Convert to fraction form
    169,068/395,139 = 395,139/x
  3. Step 3: Cross multiply
    169,068x = 395,139 × 395,139
  4. Step 4: Simplify right side
    169,068x = 156,134,829,321
  5. Step 5: Solve for x
    x = 156,134,829,321/169,068
  6. Step 6: Final answer
    x = 923,503.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.