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Finding the Third Proportional to 156,640 and 237,146

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Solution

The third proportional to 156,640 and 237,146 is: 359,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640 : 237,146 = 237,146 : x
  2. Step 2: Convert to fraction form
    156,640/237,146 = 237,146/x
  3. Step 3: Cross multiply
    156,640x = 237,146 × 237,146
  4. Step 4: Simplify right side
    156,640x = 56,238,225,316
  5. Step 5: Solve for x
    x = 56,238,225,316/156,640
  6. Step 6: Final answer
    x = 359,028.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.