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Finding the Third Proportional to 197,562 and 426,712.50

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Solution

The third proportional to 197,562 and 426,712.50 is: 921,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,562 : 426,712.50 = 426,712.50 : x
  2. Step 2: Convert to fraction form
    197,562/426,712.50 = 426,712.50/x
  3. Step 3: Cross multiply
    197,562x = 426,712.50 × 426,712.50
  4. Step 4: Simplify right side
    197,562x = 182,083,557,656.25
  5. Step 5: Solve for x
    x = 182,083,557,656.25/197,562
  6. Step 6: Final answer
    x = 921,652.74

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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.