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Finding the Third Proportional to 156,105 and 232,428

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Solution

The third proportional to 156,105 and 232,428 is: 346,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,105 : 232,428 = 232,428 : x
  2. Step 2: Convert to fraction form
    156,105/232,428 = 232,428/x
  3. Step 3: Cross multiply
    156,105x = 232,428 × 232,428
  4. Step 4: Simplify right side
    156,105x = 54,022,775,184
  5. Step 5: Solve for x
    x = 54,022,775,184/156,105
  6. Step 6: Final answer
    x = 346,066.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.