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Finding the Third Proportional to 184,536 and 403,537

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Solution

The third proportional to 184,536 and 403,537 is: 882,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,536 : 403,537 = 403,537 : x
  2. Step 2: Convert to fraction form
    184,536/403,537 = 403,537/x
  3. Step 3: Cross multiply
    184,536x = 403,537 × 403,537
  4. Step 4: Simplify right side
    184,536x = 162,842,110,369
  5. Step 5: Solve for x
    x = 162,842,110,369/184,536
  6. Step 6: Final answer
    x = 882,440.88

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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.