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Finding the Third Proportional to 122,690.25 and 264,712.50

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Solution

The third proportional to 122,690.25 and 264,712.50 is: 571,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,690.25 : 264,712.50 = 264,712.50 : x
  2. Step 2: Convert to fraction form
    122,690.25/264,712.50 = 264,712.50/x
  3. Step 3: Cross multiply
    122,690.25x = 264,712.50 × 264,712.50
  4. Step 4: Simplify right side
    122,690.25x = 70,072,707,656.25
  5. Step 5: Solve for x
    x = 70,072,707,656.25/122,690.25
  6. Step 6: Final answer
    x = 571,135.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.