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Finding the Third Proportional to 120,630.75 and 257,595

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Solution

The third proportional to 120,630.75 and 257,595 is: 550,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,630.75 : 257,595 = 257,595 : x
  2. Step 2: Convert to fraction form
    120,630.75/257,595 = 257,595/x
  3. Step 3: Cross multiply
    120,630.75x = 257,595 × 257,595
  4. Step 4: Simplify right side
    120,630.75x = 66,355,184,025
  5. Step 5: Solve for x
    x = 66,355,184,025/120,630.75
  6. Step 6: Final answer
    x = 550,068.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.