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Finding the Third Proportional to 178,917.53 and 385,858.13

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Solution

The third proportional to 178,917.53 and 385,858.13 is: 832,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,917.53 : 385,858.13 = 385,858.13 : x
  2. Step 2: Convert to fraction form
    178,917.53/385,858.13 = 385,858.13/x
  3. Step 3: Cross multiply
    178,917.53x = 385,858.13 × 385,858.13
  4. Step 4: Simplify right side
    178,917.53x = 148,886,499,411.18
  5. Step 5: Solve for x
    x = 148,886,499,411.18/178,917.53
  6. Step 6: Final answer
    x = 832,151.55

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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.