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Finding the Third Proportional to 209,682 and 315,495

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Solution

The third proportional to 209,682 and 315,495 is: 474,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,682 : 315,495 = 315,495 : x
  2. Step 2: Convert to fraction form
    209,682/315,495 = 315,495/x
  3. Step 3: Cross multiply
    209,682x = 315,495 × 315,495
  4. Step 4: Simplify right side
    209,682x = 99,537,095,025
  5. Step 5: Solve for x
    x = 99,537,095,025/209,682
  6. Step 6: Final answer
    x = 474,705.01

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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.