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Finding the Third Proportional to 120,621 and 257,272.50

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Solution

The third proportional to 120,621 and 257,272.50 is: 548,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,621 : 257,272.50 = 257,272.50 : x
  2. Step 2: Convert to fraction form
    120,621/257,272.50 = 257,272.50/x
  3. Step 3: Cross multiply
    120,621x = 257,272.50 × 257,272.50
  4. Step 4: Simplify right side
    120,621x = 66,189,139,256.25
  5. Step 5: Solve for x
    x = 66,189,139,256.25/120,621
  6. Step 6: Final answer
    x = 548,736.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.