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Finding the Third Proportional to 156,786 and 370,045

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Solution

The third proportional to 156,786 and 370,045 is: 873,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786 : 370,045 = 370,045 : x
  2. Step 2: Convert to fraction form
    156,786/370,045 = 370,045/x
  3. Step 3: Cross multiply
    156,786x = 370,045 × 370,045
  4. Step 4: Simplify right side
    156,786x = 136,933,302,025
  5. Step 5: Solve for x
    x = 136,933,302,025/156,786
  6. Step 6: Final answer
    x = 873,377.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.