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Finding the Third Proportional to 184,368 and 387,273

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Solution

The third proportional to 184,368 and 387,273 is: 813,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,368 : 387,273 = 387,273 : x
  2. Step 2: Convert to fraction form
    184,368/387,273 = 387,273/x
  3. Step 3: Cross multiply
    184,368x = 387,273 × 387,273
  4. Step 4: Simplify right side
    184,368x = 149,980,376,529
  5. Step 5: Solve for x
    x = 149,980,376,529/184,368
  6. Step 6: Final answer
    x = 813,483.77

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