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Finding the Third Proportional to 117,400.50 and 253,944

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Solution

The third proportional to 117,400.50 and 253,944 is: 549,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,400.50 : 253,944 = 253,944 : x
  2. Step 2: Convert to fraction form
    117,400.50/253,944 = 253,944/x
  3. Step 3: Cross multiply
    117,400.50x = 253,944 × 253,944
  4. Step 4: Simplify right side
    117,400.50x = 64,487,555,136
  5. Step 5: Solve for x
    x = 64,487,555,136/117,400.50
  6. Step 6: Final answer
    x = 549,295.40

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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.