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Finding the Third Proportional to 198,063 and 292,726

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Solution

The third proportional to 198,063 and 292,726 is: 432,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,063 : 292,726 = 292,726 : x
  2. Step 2: Convert to fraction form
    198,063/292,726 = 292,726/x
  3. Step 3: Cross multiply
    198,063x = 292,726 × 292,726
  4. Step 4: Simplify right side
    198,063x = 85,688,511,076
  5. Step 5: Solve for x
    x = 85,688,511,076/198,063
  6. Step 6: Final answer
    x = 432,632.60

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.