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Finding the Third Proportional to 156,785 and 370,042

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Solution

The third proportional to 156,785 and 370,042 is: 873,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785 : 370,042 = 370,042 : x
  2. Step 2: Convert to fraction form
    156,785/370,042 = 370,042/x
  3. Step 3: Cross multiply
    156,785x = 370,042 × 370,042
  4. Step 4: Simplify right side
    156,785x = 136,931,081,764
  5. Step 5: Solve for x
    x = 136,931,081,764/156,785
  6. Step 6: Final answer
    x = 873,368.51

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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.