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Finding the Third Proportional to 156,124 and 368,428

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Solution

The third proportional to 156,124 and 368,428 is: 869,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,124 : 368,428 = 368,428 : x
  2. Step 2: Convert to fraction form
    156,124/368,428 = 368,428/x
  3. Step 3: Cross multiply
    156,124x = 368,428 × 368,428
  4. Step 4: Simplify right side
    156,124x = 135,739,191,184
  5. Step 5: Solve for x
    x = 135,739,191,184/156,124
  6. Step 6: Final answer
    x = 869,431.93

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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.