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Finding the Third Proportional to 176,050 and 384,358

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Solution

The third proportional to 176,050 and 384,358 is: 839,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,050 : 384,358 = 384,358 : x
  2. Step 2: Convert to fraction form
    176,050/384,358 = 384,358/x
  3. Step 3: Cross multiply
    176,050x = 384,358 × 384,358
  4. Step 4: Simplify right side
    176,050x = 147,731,072,164
  5. Step 5: Solve for x
    x = 147,731,072,164/176,050
  6. Step 6: Final answer
    x = 839,142.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.