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Finding the Third Proportional to 178,925.25 and 385,874.25

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Solution

The third proportional to 178,925.25 and 385,874.25 is: 832,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,925.25 : 385,874.25 = 385,874.25 : x
  2. Step 2: Convert to fraction form
    178,925.25/385,874.25 = 385,874.25/x
  3. Step 3: Cross multiply
    178,925.25x = 385,874.25 × 385,874.25
  4. Step 4: Simplify right side
    178,925.25x = 148,898,936,813.06
  5. Step 5: Solve for x
    x = 148,898,936,813.06/178,925.25
  6. Step 6: Final answer
    x = 832,185.15

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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.