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Finding the Third Proportional to 155,410 and 232,156

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Solution

The third proportional to 155,410 and 232,156 is: 346,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,410 : 232,156 = 232,156 : x
  2. Step 2: Convert to fraction form
    155,410/232,156 = 232,156/x
  3. Step 3: Cross multiply
    155,410x = 232,156 × 232,156
  4. Step 4: Simplify right side
    155,410x = 53,896,408,336
  5. Step 5: Solve for x
    x = 53,896,408,336/155,410
  6. Step 6: Final answer
    x = 346,801.42

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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.