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Finding the Third Proportional to 120,756.75 and 265,417.50

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Solution

The third proportional to 120,756.75 and 265,417.50 is: 583,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,756.75 : 265,417.50 = 265,417.50 : x
  2. Step 2: Convert to fraction form
    120,756.75/265,417.50 = 265,417.50/x
  3. Step 3: Cross multiply
    120,756.75x = 265,417.50 × 265,417.50
  4. Step 4: Simplify right side
    120,756.75x = 70,446,449,306.25
  5. Step 5: Solve for x
    x = 70,446,449,306.25/120,756.75
  6. Step 6: Final answer
    x = 583,374.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.