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Finding the Third Proportional to 178,964 and 376,344

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Solution

The third proportional to 178,964 and 376,344 is: 791,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,964 : 376,344 = 376,344 : x
  2. Step 2: Convert to fraction form
    178,964/376,344 = 376,344/x
  3. Step 3: Cross multiply
    178,964x = 376,344 × 376,344
  4. Step 4: Simplify right side
    178,964x = 141,634,806,336
  5. Step 5: Solve for x
    x = 141,634,806,336/178,964
  6. Step 6: Final answer
    x = 791,415.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.