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Finding the Third Proportional to 357,114 and 574,176

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Solution

The third proportional to 357,114 and 574,176 is: 923,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,114 : 574,176 = 574,176 : x
  2. Step 2: Convert to fraction form
    357,114/574,176 = 574,176/x
  3. Step 3: Cross multiply
    357,114x = 574,176 × 574,176
  4. Step 4: Simplify right side
    357,114x = 329,678,078,976
  5. Step 5: Solve for x
    x = 329,678,078,976/357,114
  6. Step 6: Final answer
    x = 923,173.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.