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Finding the Third Proportional to 176,586.75 and 384,701.63

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Solution

The third proportional to 176,586.75 and 384,701.63 is: 838,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,586.75 : 384,701.63 = 384,701.63 : x
  2. Step 2: Convert to fraction form
    176,586.75/384,701.63 = 384,701.63/x
  3. Step 3: Cross multiply
    176,586.75x = 384,701.63 × 384,701.63
  4. Step 4: Simplify right side
    176,586.75x = 147,995,340,277.64
  5. Step 5: Solve for x
    x = 147,995,340,277.64/176,586.75
  6. Step 6: Final answer
    x = 838,088.59

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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.