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Finding the Third Proportional to 160,476 and 248,354

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Solution

The third proportional to 160,476 and 248,354 is: 384,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,476 : 248,354 = 248,354 : x
  2. Step 2: Convert to fraction form
    160,476/248,354 = 248,354/x
  3. Step 3: Cross multiply
    160,476x = 248,354 × 248,354
  4. Step 4: Simplify right side
    160,476x = 61,679,709,316
  5. Step 5: Solve for x
    x = 61,679,709,316/160,476
  6. Step 6: Final answer
    x = 384,354.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.