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Finding the Third Proportional to 193,360.50 and 415,283.63

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Solution

The third proportional to 193,360.50 and 415,283.63 is: 891,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,360.50 : 415,283.63 = 415,283.63 : x
  2. Step 2: Convert to fraction form
    193,360.50/415,283.63 = 415,283.63/x
  3. Step 3: Cross multiply
    193,360.50x = 415,283.63 × 415,283.63
  4. Step 4: Simplify right side
    193,360.50x = 172,460,489,193.14
  5. Step 5: Solve for x
    x = 172,460,489,193.14/193,360.50
  6. Step 6: Final answer
    x = 891,911.68

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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.