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Finding the Third Proportional to 179,490 and 377,436

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Solution

The third proportional to 179,490 and 377,436 is: 793,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,490 : 377,436 = 377,436 : x
  2. Step 2: Convert to fraction form
    179,490/377,436 = 377,436/x
  3. Step 3: Cross multiply
    179,490x = 377,436 × 377,436
  4. Step 4: Simplify right side
    179,490x = 142,457,934,096
  5. Step 5: Solve for x
    x = 142,457,934,096/179,490
  6. Step 6: Final answer
    x = 793,681.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.