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Finding the Third Proportional to 209,045.25 and 315,526.88

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Solution

The third proportional to 209,045.25 and 315,526.88 is: 476,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,045.25 : 315,526.88 = 315,526.88 : x
  2. Step 2: Convert to fraction form
    209,045.25/315,526.88 = 315,526.88/x
  3. Step 3: Cross multiply
    209,045.25x = 315,526.88 × 315,526.88
  4. Step 4: Simplify right side
    209,045.25x = 99,557,208,847.27
  5. Step 5: Solve for x
    x = 99,557,208,847.27/209,045.25
  6. Step 6: Final answer
    x = 476,247.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.