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Finding the Third Proportional to 193,810 and 417,300

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Solution

The third proportional to 193,810 and 417,300 is: 898,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,810 : 417,300 = 417,300 : x
  2. Step 2: Convert to fraction form
    193,810/417,300 = 417,300/x
  3. Step 3: Cross multiply
    193,810x = 417,300 × 417,300
  4. Step 4: Simplify right side
    193,810x = 174,139,290,000
  5. Step 5: Solve for x
    x = 174,139,290,000/193,810
  6. Step 6: Final answer
    x = 898,505.19

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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.