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Finding the Third Proportional to 176,828.06 and 381,904.88

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Solution

The third proportional to 176,828.06 and 381,904.88 is: 824,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,828.06 : 381,904.88 = 381,904.88 : x
  2. Step 2: Convert to fraction form
    176,828.06/381,904.88 = 381,904.88/x
  3. Step 3: Cross multiply
    176,828.06x = 381,904.88 × 381,904.88
  4. Step 4: Simplify right side
    176,828.06x = 145,851,333,548.77
  5. Step 5: Solve for x
    x = 145,851,333,548.77/176,828.06
  6. Step 6: Final answer
    x = 824,820.06

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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.