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Finding the Third Proportional to 134,526 and 199,194

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Solution

The third proportional to 134,526 and 199,194 is: 294,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,526 : 199,194 = 199,194 : x
  2. Step 2: Convert to fraction form
    134,526/199,194 = 199,194/x
  3. Step 3: Cross multiply
    134,526x = 199,194 × 199,194
  4. Step 4: Simplify right side
    134,526x = 39,678,249,636
  5. Step 5: Solve for x
    x = 39,678,249,636/134,526
  6. Step 6: Final answer
    x = 294,948.56

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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.