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Finding the Third Proportional to 161,701 and 340,157

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Solution

The third proportional to 161,701 and 340,157 is: 715,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,701 : 340,157 = 340,157 : x
  2. Step 2: Convert to fraction form
    161,701/340,157 = 340,157/x
  3. Step 3: Cross multiply
    161,701x = 340,157 × 340,157
  4. Step 4: Simplify right side
    161,701x = 115,706,784,649
  5. Step 5: Solve for x
    x = 115,706,784,649/161,701
  6. Step 6: Final answer
    x = 715,560.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.