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Finding the Third Proportional to 184,411 and 375,586

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Solution

The third proportional to 184,411 and 375,586 is: 764,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,411 : 375,586 = 375,586 : x
  2. Step 2: Convert to fraction form
    184,411/375,586 = 375,586/x
  3. Step 3: Cross multiply
    184,411x = 375,586 × 375,586
  4. Step 4: Simplify right side
    184,411x = 141,064,843,396
  5. Step 5: Solve for x
    x = 141,064,843,396/184,411
  6. Step 6: Final answer
    x = 764,948.10

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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.