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Finding the Third Proportional to 184,579.38 and 403,322.10

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Solution

The third proportional to 184,579.38 and 403,322.10 is: 881,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,579.38 : 403,322.10 = 403,322.10 : x
  2. Step 2: Convert to fraction form
    184,579.38/403,322.10 = 403,322.10/x
  3. Step 3: Cross multiply
    184,579.38x = 403,322.10 × 403,322.10
  4. Step 4: Simplify right side
    184,579.38x = 162,668,714,457.83
  5. Step 5: Solve for x
    x = 162,668,714,457.83/184,579.38
  6. Step 6: Final answer
    x = 881,294.06

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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.