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Finding the Third Proportional to 156,789 and 370,052

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Solution

The third proportional to 156,789 and 370,052 is: 873,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,789 : 370,052 = 370,052 : x
  2. Step 2: Convert to fraction form
    156,789/370,052 = 370,052/x
  3. Step 3: Cross multiply
    156,789x = 370,052 × 370,052
  4. Step 4: Simplify right side
    156,789x = 136,938,482,704
  5. Step 5: Solve for x
    x = 136,938,482,704/156,789
  6. Step 6: Final answer
    x = 873,393.43

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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.