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Finding the Third Proportional to 121,272.19 and 260,784.56

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Solution

The third proportional to 121,272.19 and 260,784.56 is: 560,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,272.19 : 260,784.56 = 260,784.56 : x
  2. Step 2: Convert to fraction form
    121,272.19/260,784.56 = 260,784.56/x
  3. Step 3: Cross multiply
    121,272.19x = 260,784.56 × 260,784.56
  4. Step 4: Simplify right side
    121,272.19x = 68,008,588,038.32
  5. Step 5: Solve for x
    x = 68,008,588,038.32/121,272.19
  6. Step 6: Final answer
    x = 560,792.95

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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.