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Finding the Third Proportional to 179,392 and 377,368

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Solution

The third proportional to 179,392 and 377,368 is: 793,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,392 : 377,368 = 377,368 : x
  2. Step 2: Convert to fraction form
    179,392/377,368 = 377,368/x
  3. Step 3: Cross multiply
    179,392x = 377,368 × 377,368
  4. Step 4: Simplify right side
    179,392x = 142,406,607,424
  5. Step 5: Solve for x
    x = 142,406,607,424/179,392
  6. Step 6: Final answer
    x = 793,829.20

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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.