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Finding the Third Proportional to 121,194 and 261,746

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Solution

The third proportional to 121,194 and 261,746 is: 565,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,194 : 261,746 = 261,746 : x
  2. Step 2: Convert to fraction form
    121,194/261,746 = 261,746/x
  3. Step 3: Cross multiply
    121,194x = 261,746 × 261,746
  4. Step 4: Simplify right side
    121,194x = 68,510,968,516
  5. Step 5: Solve for x
    x = 68,510,968,516/121,194
  6. Step 6: Final answer
    x = 565,300.00

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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.