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Finding the Third Proportional to 176,046 and 384,349.50

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Solution

The third proportional to 176,046 and 384,349.50 is: 839,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,046 : 384,349.50 = 384,349.50 : x
  2. Step 2: Convert to fraction form
    176,046/384,349.50 = 384,349.50/x
  3. Step 3: Cross multiply
    176,046x = 384,349.50 × 384,349.50
  4. Step 4: Simplify right side
    176,046x = 147,724,538,150.25
  5. Step 5: Solve for x
    x = 147,724,538,150.25/176,046
  6. Step 6: Final answer
    x = 839,124.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.