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Finding the Third Proportional to 176,868 and 384,840

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Solution

The third proportional to 176,868 and 384,840 is: 837,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,868 : 384,840 = 384,840 : x
  2. Step 2: Convert to fraction form
    176,868/384,840 = 384,840/x
  3. Step 3: Cross multiply
    176,868x = 384,840 × 384,840
  4. Step 4: Simplify right side
    176,868x = 148,101,825,600
  5. Step 5: Solve for x
    x = 148,101,825,600/176,868
  6. Step 6: Final answer
    x = 837,357.95

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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.