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Finding the Third Proportional to 178,368 and 371,424

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Solution

The third proportional to 178,368 and 371,424 is: 773,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,368 : 371,424 = 371,424 : x
  2. Step 2: Convert to fraction form
    178,368/371,424 = 371,424/x
  3. Step 3: Cross multiply
    178,368x = 371,424 × 371,424
  4. Step 4: Simplify right side
    178,368x = 137,955,787,776
  5. Step 5: Solve for x
    x = 137,955,787,776/178,368
  6. Step 6: Final answer
    x = 773,433.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.