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Finding the Third Proportional to 190,197 and 294,354

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Solution

The third proportional to 190,197 and 294,354 is: 455,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,197 : 294,354 = 294,354 : x
  2. Step 2: Convert to fraction form
    190,197/294,354 = 294,354/x
  3. Step 3: Cross multiply
    190,197x = 294,354 × 294,354
  4. Step 4: Simplify right side
    190,197x = 86,644,277,316
  5. Step 5: Solve for x
    x = 86,644,277,316/190,197
  6. Step 6: Final answer
    x = 455,550.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.