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Finding the Third Proportional to 178,382 and 237,929

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Solution

The third proportional to 178,382 and 237,929 is: 317,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,382 : 237,929 = 237,929 : x
  2. Step 2: Convert to fraction form
    178,382/237,929 = 237,929/x
  3. Step 3: Cross multiply
    178,382x = 237,929 × 237,929
  4. Step 4: Simplify right side
    178,382x = 56,610,209,041
  5. Step 5: Solve for x
    x = 56,610,209,041/178,382
  6. Step 6: Final answer
    x = 317,353.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.