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Finding the Third Proportional to 184,538 and 403,541

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Solution

The third proportional to 184,538 and 403,541 is: 882,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,538 : 403,541 = 403,541 : x
  2. Step 2: Convert to fraction form
    184,538/403,541 = 403,541/x
  3. Step 3: Cross multiply
    184,538x = 403,541 × 403,541
  4. Step 4: Simplify right side
    184,538x = 162,845,338,681
  5. Step 5: Solve for x
    x = 162,845,338,681/184,538
  6. Step 6: Final answer
    x = 882,448.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.