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Finding the Third Proportional to 120,012 and 258,492

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Solution

The third proportional to 120,012 and 258,492 is: 556,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,012 : 258,492 = 258,492 : x
  2. Step 2: Convert to fraction form
    120,012/258,492 = 258,492/x
  3. Step 3: Cross multiply
    120,012x = 258,492 × 258,492
  4. Step 4: Simplify right side
    120,012x = 66,818,114,064
  5. Step 5: Solve for x
    x = 66,818,114,064/120,012
  6. Step 6: Final answer
    x = 556,761.94

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