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Finding the Third Proportional to 209,054 and 318,495

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Solution

The third proportional to 209,054 and 318,495 is: 485,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,054 : 318,495 = 318,495 : x
  2. Step 2: Convert to fraction form
    209,054/318,495 = 318,495/x
  3. Step 3: Cross multiply
    209,054x = 318,495 × 318,495
  4. Step 4: Simplify right side
    209,054x = 101,439,065,025
  5. Step 5: Solve for x
    x = 101,439,065,025/209,054
  6. Step 6: Final answer
    x = 485,229.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.