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Finding the Third Proportional to 190,000 and 294,186

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Solution

The third proportional to 190,000 and 294,186 is: 455,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,000 : 294,186 = 294,186 : x
  2. Step 2: Convert to fraction form
    190,000/294,186 = 294,186/x
  3. Step 3: Cross multiply
    190,000x = 294,186 × 294,186
  4. Step 4: Simplify right side
    190,000x = 86,545,402,596
  5. Step 5: Solve for x
    x = 86,545,402,596/190,000
  6. Step 6: Final answer
    x = 455,502.12

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