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Finding the Third Proportional to 237,504 and 355,069

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Solution

The third proportional to 237,504 and 355,069 is: 530,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,504 : 355,069 = 355,069 : x
  2. Step 2: Convert to fraction form
    237,504/355,069 = 355,069/x
  3. Step 3: Cross multiply
    237,504x = 355,069 × 355,069
  4. Step 4: Simplify right side
    237,504x = 126,073,994,761
  5. Step 5: Solve for x
    x = 126,073,994,761/237,504
  6. Step 6: Final answer
    x = 530,828.93

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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.