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Finding the Third Proportional to 198,565 and 435,034.50

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Solution

The third proportional to 198,565 and 435,034.50 is: 953,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,565 : 435,034.50 = 435,034.50 : x
  2. Step 2: Convert to fraction form
    198,565/435,034.50 = 435,034.50/x
  3. Step 3: Cross multiply
    198,565x = 435,034.50 × 435,034.50
  4. Step 4: Simplify right side
    198,565x = 189,255,016,190.25
  5. Step 5: Solve for x
    x = 189,255,016,190.25/198,565
  6. Step 6: Final answer
    x = 953,113.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.