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Finding the Third Proportional to 120,024 and 258,516

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Solution

The third proportional to 120,024 and 258,516 is: 556,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,024 : 258,516 = 258,516 : x
  2. Step 2: Convert to fraction form
    120,024/258,516 = 258,516/x
  3. Step 3: Cross multiply
    120,024x = 258,516 × 258,516
  4. Step 4: Simplify right side
    120,024x = 66,830,522,256
  5. Step 5: Solve for x
    x = 66,830,522,256/120,024
  6. Step 6: Final answer
    x = 556,809.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.