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Finding the Third Proportional to 155,176 and 237,274

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Solution

The third proportional to 155,176 and 237,274 is: 362,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,176 : 237,274 = 237,274 : x
  2. Step 2: Convert to fraction form
    155,176/237,274 = 237,274/x
  3. Step 3: Cross multiply
    155,176x = 237,274 × 237,274
  4. Step 4: Simplify right side
    155,176x = 56,298,951,076
  5. Step 5: Solve for x
    x = 56,298,951,076/155,176
  6. Step 6: Final answer
    x = 362,807.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.