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Finding the Third Proportional to 178,920.56 and 385,862.06

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Solution

The third proportional to 178,920.56 and 385,862.06 is: 832,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,920.56 : 385,862.06 = 385,862.06 : x
  2. Step 2: Convert to fraction form
    178,920.56/385,862.06 = 385,862.06/x
  3. Step 3: Cross multiply
    178,920.56x = 385,862.06 × 385,862.06
  4. Step 4: Simplify right side
    178,920.56x = 148,889,531,276.75
  5. Step 5: Solve for x
    x = 148,889,531,276.75/178,920.56
  6. Step 6: Final answer
    x = 832,154.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.