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Finding the Third Proportional to 121,371.75 and 264,870

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Solution

The third proportional to 121,371.75 and 264,870 is: 578,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,371.75 : 264,870 = 264,870 : x
  2. Step 2: Convert to fraction form
    121,371.75/264,870 = 264,870/x
  3. Step 3: Cross multiply
    121,371.75x = 264,870 × 264,870
  4. Step 4: Simplify right side
    121,371.75x = 70,156,116,900
  5. Step 5: Solve for x
    x = 70,156,116,900/121,371.75
  6. Step 6: Final answer
    x = 578,026.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.