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Finding the Third Proportional to 178,412.63 and 384,676.59

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Solution

The third proportional to 178,412.63 and 384,676.59 is: 829,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,412.63 : 384,676.59 = 384,676.59 : x
  2. Step 2: Convert to fraction form
    178,412.63/384,676.59 = 384,676.59/x
  3. Step 3: Cross multiply
    178,412.63x = 384,676.59 × 384,676.59
  4. Step 4: Simplify right side
    178,412.63x = 147,976,081,779.10
  5. Step 5: Solve for x
    x = 147,976,081,779.10/178,412.63
  6. Step 6: Final answer
    x = 829,403.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.