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Finding the Third Proportional to 194,301 and 295,483.50

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Solution

The third proportional to 194,301 and 295,483.50 is: 449,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,301 : 295,483.50 = 295,483.50 : x
  2. Step 2: Convert to fraction form
    194,301/295,483.50 = 295,483.50/x
  3. Step 3: Cross multiply
    194,301x = 295,483.50 × 295,483.50
  4. Step 4: Simplify right side
    194,301x = 87,310,498,772.25
  5. Step 5: Solve for x
    x = 87,310,498,772.25/194,301
  6. Step 6: Final answer
    x = 449,356.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.