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Finding the Third Proportional to 190,082 and 294,291

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Solution

The third proportional to 190,082 and 294,291 is: 455,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,082 : 294,291 = 294,291 : x
  2. Step 2: Convert to fraction form
    190,082/294,291 = 294,291/x
  3. Step 3: Cross multiply
    190,082x = 294,291 × 294,291
  4. Step 4: Simplify right side
    190,082x = 86,607,192,681
  5. Step 5: Solve for x
    x = 86,607,192,681/190,082
  6. Step 6: Final answer
    x = 455,630.69

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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.