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Finding the Third Proportional to 156,818 and 370,133

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Solution

The third proportional to 156,818 and 370,133 is: 873,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,818 : 370,133 = 370,133 : x
  2. Step 2: Convert to fraction form
    156,818/370,133 = 370,133/x
  3. Step 3: Cross multiply
    156,818x = 370,133 × 370,133
  4. Step 4: Simplify right side
    156,818x = 136,998,437,689
  5. Step 5: Solve for x
    x = 136,998,437,689/156,818
  6. Step 6: Final answer
    x = 873,614.24

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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.