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Finding the Third Proportional to 117,720 and 290,265.75

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Solution

The third proportional to 117,720 and 290,265.75 is: 715,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,720 : 290,265.75 = 290,265.75 : x
  2. Step 2: Convert to fraction form
    117,720/290,265.75 = 290,265.75/x
  3. Step 3: Cross multiply
    117,720x = 290,265.75 × 290,265.75
  4. Step 4: Simplify right side
    117,720x = 84,254,205,623.06
  5. Step 5: Solve for x
    x = 84,254,205,623.06/117,720
  6. Step 6: Final answer
    x = 715,717.00

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.