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Finding the Third Proportional to 180,312.75 and 385,639.88

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Solution

The third proportional to 180,312.75 and 385,639.88 is: 824,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,312.75 : 385,639.88 = 385,639.88 : x
  2. Step 2: Convert to fraction form
    180,312.75/385,639.88 = 385,639.88/x
  3. Step 3: Cross multiply
    180,312.75x = 385,639.88 × 385,639.88
  4. Step 4: Simplify right side
    180,312.75x = 148,718,113,190.02
  5. Step 5: Solve for x
    x = 148,718,113,190.02/180,312.75
  6. Step 6: Final answer
    x = 824,778.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.