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Finding the Third Proportional to 169,753 and 368,709

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Solution

The third proportional to 169,753 and 368,709 is: 800,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,753 : 368,709 = 368,709 : x
  2. Step 2: Convert to fraction form
    169,753/368,709 = 368,709/x
  3. Step 3: Cross multiply
    169,753x = 368,709 × 368,709
  4. Step 4: Simplify right side
    169,753x = 135,946,326,681
  5. Step 5: Solve for x
    x = 135,946,326,681/169,753
  6. Step 6: Final answer
    x = 800,847.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.