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Finding the Third Proportional to 248,960 and 373,621

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Solution

The third proportional to 248,960 and 373,621 is: 560,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,960 : 373,621 = 373,621 : x
  2. Step 2: Convert to fraction form
    248,960/373,621 = 373,621/x
  3. Step 3: Cross multiply
    248,960x = 373,621 × 373,621
  4. Step 4: Simplify right side
    248,960x = 139,592,651,641
  5. Step 5: Solve for x
    x = 139,592,651,641/248,960
  6. Step 6: Final answer
    x = 560,703.13

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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.