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Finding the Third Proportional to 176,342.63 and 384,153.75

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Solution

The third proportional to 176,342.63 and 384,153.75 is: 836,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,342.63 : 384,153.75 = 384,153.75 : x
  2. Step 2: Convert to fraction form
    176,342.63/384,153.75 = 384,153.75/x
  3. Step 3: Cross multiply
    176,342.63x = 384,153.75 × 384,153.75
  4. Step 4: Simplify right side
    176,342.63x = 147,574,103,639.06
  5. Step 5: Solve for x
    x = 147,574,103,639.06/176,342.63
  6. Step 6: Final answer
    x = 836,860.08

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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.