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Finding the Third Proportional to 134,426 and 198,567

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Solution

The third proportional to 134,426 and 198,567 is: 293,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,426 : 198,567 = 198,567 : x
  2. Step 2: Convert to fraction form
    134,426/198,567 = 198,567/x
  3. Step 3: Cross multiply
    134,426x = 198,567 × 198,567
  4. Step 4: Simplify right side
    134,426x = 39,428,853,489
  5. Step 5: Solve for x
    x = 39,428,853,489/134,426
  6. Step 6: Final answer
    x = 293,312.70

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Why These Related Problems?

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