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Finding the Third Proportional to 193,549.50 and 304,148.25

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Solution

The third proportional to 193,549.50 and 304,148.25 is: 477,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,549.50 : 304,148.25 = 304,148.25 : x
  2. Step 2: Convert to fraction form
    193,549.50/304,148.25 = 304,148.25/x
  3. Step 3: Cross multiply
    193,549.50x = 304,148.25 × 304,148.25
  4. Step 4: Simplify right side
    193,549.50x = 92,506,157,978.06
  5. Step 5: Solve for x
    x = 92,506,157,978.06/193,549.50
  6. Step 6: Final answer
    x = 477,945.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.