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Finding the Third Proportional to 178,304.63 and 264,509.72

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Solution

The third proportional to 178,304.63 and 264,509.72 is: 392,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,304.63 : 264,509.72 = 264,509.72 : x
  2. Step 2: Convert to fraction form
    178,304.63/264,509.72 = 264,509.72/x
  3. Step 3: Cross multiply
    178,304.63x = 264,509.72 × 264,509.72
  4. Step 4: Simplify right side
    178,304.63x = 69,965,391,313.20
  5. Step 5: Solve for x
    x = 69,965,391,313.20/178,304.63
  6. Step 6: Final answer
    x = 392,392.46

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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.