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Finding the Third Proportional to 157,977 and 377,730

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Solution

The third proportional to 157,977 and 377,730 is: 903,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,977 : 377,730 = 377,730 : x
  2. Step 2: Convert to fraction form
    157,977/377,730 = 377,730/x
  3. Step 3: Cross multiply
    157,977x = 377,730 × 377,730
  4. Step 4: Simplify right side
    157,977x = 142,679,952,900
  5. Step 5: Solve for x
    x = 142,679,952,900/157,977
  6. Step 6: Final answer
    x = 903,169.15

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.