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Finding the Third Proportional to 178,248 and 383,376

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Solution

The third proportional to 178,248 and 383,376 is: 824,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,248 : 383,376 = 383,376 : x
  2. Step 2: Convert to fraction form
    178,248/383,376 = 383,376/x
  3. Step 3: Cross multiply
    178,248x = 383,376 × 383,376
  4. Step 4: Simplify right side
    178,248x = 146,977,157,376
  5. Step 5: Solve for x
    x = 146,977,157,376/178,248
  6. Step 6: Final answer
    x = 824,565.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.