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Finding the Third Proportional to 198,322.50 and 302,133

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Solution

The third proportional to 198,322.50 and 302,133 is: 460,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,322.50 : 302,133 = 302,133 : x
  2. Step 2: Convert to fraction form
    198,322.50/302,133 = 302,133/x
  3. Step 3: Cross multiply
    198,322.50x = 302,133 × 302,133
  4. Step 4: Simplify right side
    198,322.50x = 91,284,349,689
  5. Step 5: Solve for x
    x = 91,284,349,689/198,322.50
  6. Step 6: Final answer
    x = 460,282.37

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Why These Related Problems?

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