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Finding the Third Proportional to 176,033 and 380,124

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Solution

The third proportional to 176,033 and 380,124 is: 820,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,033 : 380,124 = 380,124 : x
  2. Step 2: Convert to fraction form
    176,033/380,124 = 380,124/x
  3. Step 3: Cross multiply
    176,033x = 380,124 × 380,124
  4. Step 4: Simplify right side
    176,033x = 144,494,255,376
  5. Step 5: Solve for x
    x = 144,494,255,376/176,033
  6. Step 6: Final answer
    x = 820,836.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.