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Finding the Third Proportional to 184,413 and 375,594

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Solution

The third proportional to 184,413 and 375,594 is: 764,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,413 : 375,594 = 375,594 : x
  2. Step 2: Convert to fraction form
    184,413/375,594 = 375,594/x
  3. Step 3: Cross multiply
    184,413x = 375,594 × 375,594
  4. Step 4: Simplify right side
    184,413x = 141,070,852,836
  5. Step 5: Solve for x
    x = 141,070,852,836/184,413
  6. Step 6: Final answer
    x = 764,972.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.