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Finding the Third Proportional to 134,398 and 198,532.50

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Solution

The third proportional to 134,398 and 198,532.50 is: 293,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,398 : 198,532.50 = 198,532.50 : x
  2. Step 2: Convert to fraction form
    134,398/198,532.50 = 198,532.50/x
  3. Step 3: Cross multiply
    134,398x = 198,532.50 × 198,532.50
  4. Step 4: Simplify right side
    134,398x = 39,415,153,556.25
  5. Step 5: Solve for x
    x = 39,415,153,556.25/134,398
  6. Step 6: Final answer
    x = 293,271.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.