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Finding the Third Proportional to 178,946.72 and 385,913.74

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Solution

The third proportional to 178,946.72 and 385,913.74 is: 832,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,946.72 : 385,913.74 = 385,913.74 : x
  2. Step 2: Convert to fraction form
    178,946.72/385,913.74 = 385,913.74/x
  3. Step 3: Cross multiply
    178,946.72x = 385,913.74 × 385,913.74
  4. Step 4: Simplify right side
    178,946.72x = 148,929,416,409.16
  5. Step 5: Solve for x
    x = 148,929,416,409.16/178,946.72
  6. Step 6: Final answer
    x = 832,255.64

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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.