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Finding the Third Proportional to 120,260.25 and 259,776

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Solution

The third proportional to 120,260.25 and 259,776 is: 561,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,260.25 : 259,776 = 259,776 : x
  2. Step 2: Convert to fraction form
    120,260.25/259,776 = 259,776/x
  3. Step 3: Cross multiply
    120,260.25x = 259,776 × 259,776
  4. Step 4: Simplify right side
    120,260.25x = 67,483,570,176
  5. Step 5: Solve for x
    x = 67,483,570,176/120,260.25
  6. Step 6: Final answer
    x = 561,146.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.