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Finding the Third Proportional to 194,483.53 and 262,178.02

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Solution

The third proportional to 194,483.53 and 262,178.02 is: 353,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,483.53 : 262,178.02 = 262,178.02 : x
  2. Step 2: Convert to fraction form
    194,483.53/262,178.02 = 262,178.02/x
  3. Step 3: Cross multiply
    194,483.53x = 262,178.02 × 262,178.02
  4. Step 4: Simplify right side
    194,483.53x = 68,737,311,877.06
  5. Step 5: Solve for x
    x = 68,737,311,877.06/194,483.53
  6. Step 6: Final answer
    x = 353,435.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.