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Finding the Third Proportional to 178,426 and 384,707

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Solution

The third proportional to 178,426 and 384,707 is: 829,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,426 : 384,707 = 384,707 : x
  2. Step 2: Convert to fraction form
    178,426/384,707 = 384,707/x
  3. Step 3: Cross multiply
    178,426x = 384,707 × 384,707
  4. Step 4: Simplify right side
    178,426x = 147,999,475,849
  5. Step 5: Solve for x
    x = 147,999,475,849/178,426
  6. Step 6: Final answer
    x = 829,472.59

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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.