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Finding the Third Proportional to 121,282 and 260,804.50

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Solution

The third proportional to 121,282 and 260,804.50 is: 560,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,282 : 260,804.50 = 260,804.50 : x
  2. Step 2: Convert to fraction form
    121,282/260,804.50 = 260,804.50/x
  3. Step 3: Cross multiply
    121,282x = 260,804.50 × 260,804.50
  4. Step 4: Simplify right side
    121,282x = 68,018,987,220.25
  5. Step 5: Solve for x
    x = 68,018,987,220.25/121,282
  6. Step 6: Final answer
    x = 560,833.32

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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.