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Finding the Third Proportional to 190,095 and 294,243

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Solution

The third proportional to 190,095 and 294,243 is: 455,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,095 : 294,243 = 294,243 : x
  2. Step 2: Convert to fraction form
    190,095/294,243 = 294,243/x
  3. Step 3: Cross multiply
    190,095x = 294,243 × 294,243
  4. Step 4: Simplify right side
    190,095x = 86,578,943,049
  5. Step 5: Solve for x
    x = 86,578,943,049/190,095
  6. Step 6: Final answer
    x = 455,450.92

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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.