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Finding the Third Proportional to 190,946 and 377,070

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Solution

The third proportional to 190,946 and 377,070 is: 744,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,946 : 377,070 = 377,070 : x
  2. Step 2: Convert to fraction form
    190,946/377,070 = 377,070/x
  3. Step 3: Cross multiply
    190,946x = 377,070 × 377,070
  4. Step 4: Simplify right side
    190,946x = 142,181,784,900
  5. Step 5: Solve for x
    x = 142,181,784,900/190,946
  6. Step 6: Final answer
    x = 744,617.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.