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Finding the Third Proportional to 178,652.25 and 392,307.75

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Solution

The third proportional to 178,652.25 and 392,307.75 is: 861,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,652.25 : 392,307.75 = 392,307.75 : x
  2. Step 2: Convert to fraction form
    178,652.25/392,307.75 = 392,307.75/x
  3. Step 3: Cross multiply
    178,652.25x = 392,307.75 × 392,307.75
  4. Step 4: Simplify right side
    178,652.25x = 153,905,370,710.06
  5. Step 5: Solve for x
    x = 153,905,370,710.06/178,652.25
  6. Step 6: Final answer
    x = 861,480.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.