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Finding the Third Proportional to 198,316.48 and 302,124.62

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Solution

The third proportional to 198,316.48 and 302,124.62 is: 460,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,316.48 : 302,124.62 = 302,124.62 : x
  2. Step 2: Convert to fraction form
    198,316.48/302,124.62 = 302,124.62/x
  3. Step 3: Cross multiply
    198,316.48x = 302,124.62 × 302,124.62
  4. Step 4: Simplify right side
    198,316.48x = 91,279,286,671.04
  5. Step 5: Solve for x
    x = 91,279,286,671.04/198,316.48
  6. Step 6: Final answer
    x = 460,270.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.