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Finding the Third Proportional to 176,262.75 and 377,426.25

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Solution

The third proportional to 176,262.75 and 377,426.25 is: 808,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,262.75 : 377,426.25 = 377,426.25 : x
  2. Step 2: Convert to fraction form
    176,262.75/377,426.25 = 377,426.25/x
  3. Step 3: Cross multiply
    176,262.75x = 377,426.25 × 377,426.25
  4. Step 4: Simplify right side
    176,262.75x = 142,450,574,189.06
  5. Step 5: Solve for x
    x = 142,450,574,189.06/176,262.75
  6. Step 6: Final answer
    x = 808,171.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.