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Finding the Third Proportional to 181,594 and 300,111

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Solution

The third proportional to 181,594 and 300,111 is: 495,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,594 : 300,111 = 300,111 : x
  2. Step 2: Convert to fraction form
    181,594/300,111 = 300,111/x
  3. Step 3: Cross multiply
    181,594x = 300,111 × 300,111
  4. Step 4: Simplify right side
    181,594x = 90,066,612,321
  5. Step 5: Solve for x
    x = 90,066,612,321/181,594
  6. Step 6: Final answer
    x = 495,977.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.