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Finding the Third Proportional to 176,631.75 and 382,585.50

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Solution

The third proportional to 176,631.75 and 382,585.50 is: 828,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,631.75 : 382,585.50 = 382,585.50 : x
  2. Step 2: Convert to fraction form
    176,631.75/382,585.50 = 382,585.50/x
  3. Step 3: Cross multiply
    176,631.75x = 382,585.50 × 382,585.50
  4. Step 4: Simplify right side
    176,631.75x = 146,371,664,810.25
  5. Step 5: Solve for x
    x = 146,371,664,810.25/176,631.75
  6. Step 6: Final answer
    x = 828,682.64

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