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Finding the Third Proportional to 118,948.50 and 243,357.75

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Solution

The third proportional to 118,948.50 and 243,357.75 is: 497,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,948.50 : 243,357.75 = 243,357.75 : x
  2. Step 2: Convert to fraction form
    118,948.50/243,357.75 = 243,357.75/x
  3. Step 3: Cross multiply
    118,948.50x = 243,357.75 × 243,357.75
  4. Step 4: Simplify right side
    118,948.50x = 59,222,994,485.06
  5. Step 5: Solve for x
    x = 59,222,994,485.06/118,948.50
  6. Step 6: Final answer
    x = 497,887.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.