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Finding the Third Proportional to 239,184 and 370,116

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Solution

The third proportional to 239,184 and 370,116 is: 572,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,184 : 370,116 = 370,116 : x
  2. Step 2: Convert to fraction form
    239,184/370,116 = 370,116/x
  3. Step 3: Cross multiply
    239,184x = 370,116 × 370,116
  4. Step 4: Simplify right side
    239,184x = 136,985,853,456
  5. Step 5: Solve for x
    x = 136,985,853,456/239,184
  6. Step 6: Final answer
    x = 572,721.64

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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.