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Finding the Third Proportional to 178,305.75 and 264,511.13

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Solution

The third proportional to 178,305.75 and 264,511.13 is: 392,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305.75 : 264,511.13 = 264,511.13 : x
  2. Step 2: Convert to fraction form
    178,305.75/264,511.13 = 264,511.13/x
  3. Step 3: Cross multiply
    178,305.75x = 264,511.13 × 264,511.13
  4. Step 4: Simplify right side
    178,305.75x = 69,966,135,248.77
  5. Step 5: Solve for x
    x = 69,966,135,248.77/178,305.75
  6. Step 6: Final answer
    x = 392,394.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.