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Finding the Third Proportional to 184,196 and 394,528

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Solution

The third proportional to 184,196 and 394,528 is: 845,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,196 : 394,528 = 394,528 : x
  2. Step 2: Convert to fraction form
    184,196/394,528 = 394,528/x
  3. Step 3: Cross multiply
    184,196x = 394,528 × 394,528
  4. Step 4: Simplify right side
    184,196x = 155,652,342,784
  5. Step 5: Solve for x
    x = 155,652,342,784/184,196
  6. Step 6: Final answer
    x = 845,036.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.