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Finding the Third Proportional to 176,848.56 and 383,603.56

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Solution

The third proportional to 176,848.56 and 383,603.56 is: 832,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,848.56 : 383,603.56 = 383,603.56 : x
  2. Step 2: Convert to fraction form
    176,848.56/383,603.56 = 383,603.56/x
  3. Step 3: Cross multiply
    176,848.56x = 383,603.56 × 383,603.56
  4. Step 4: Simplify right side
    176,848.56x = 147,151,693,162.69
  5. Step 5: Solve for x
    x = 147,151,693,162.69/176,848.56
  6. Step 6: Final answer
    x = 832,077.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.