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Finding the Third Proportional to 192,877.50 and 417,465.75

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Solution

The third proportional to 192,877.50 and 417,465.75 is: 903,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,877.50 : 417,465.75 = 417,465.75 : x
  2. Step 2: Convert to fraction form
    192,877.50/417,465.75 = 417,465.75/x
  3. Step 3: Cross multiply
    192,877.50x = 417,465.75 × 417,465.75
  4. Step 4: Simplify right side
    192,877.50x = 174,277,652,423.06
  5. Step 5: Solve for x
    x = 174,277,652,423.06/192,877.50
  6. Step 6: Final answer
    x = 903,566.52

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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.