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Finding the Third Proportional to 181,373 and 377,460

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Solution

The third proportional to 181,373 and 377,460 is: 785,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,373 : 377,460 = 377,460 : x
  2. Step 2: Convert to fraction form
    181,373/377,460 = 377,460/x
  3. Step 3: Cross multiply
    181,373x = 377,460 × 377,460
  4. Step 4: Simplify right side
    181,373x = 142,476,051,600
  5. Step 5: Solve for x
    x = 142,476,051,600/181,373
  6. Step 6: Final answer
    x = 785,541.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.