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Finding the Third Proportional to 185,410 and 277,376

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Solution

The third proportional to 185,410 and 277,376 is: 414,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,410 : 277,376 = 277,376 : x
  2. Step 2: Convert to fraction form
    185,410/277,376 = 277,376/x
  3. Step 3: Cross multiply
    185,410x = 277,376 × 277,376
  4. Step 4: Simplify right side
    185,410x = 76,937,445,376
  5. Step 5: Solve for x
    x = 76,937,445,376/185,410
  6. Step 6: Final answer
    x = 414,958.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.