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Finding the Third Proportional to 118,365 and 254,773.50

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Solution

The third proportional to 118,365 and 254,773.50 is: 548,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,365 : 254,773.50 = 254,773.50 : x
  2. Step 2: Convert to fraction form
    118,365/254,773.50 = 254,773.50/x
  3. Step 3: Cross multiply
    118,365x = 254,773.50 × 254,773.50
  4. Step 4: Simplify right side
    118,365x = 64,909,536,302.25
  5. Step 5: Solve for x
    x = 64,909,536,302.25/118,365
  6. Step 6: Final answer
    x = 548,384.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.