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Finding the Third Proportional to 118,994 and 250,259.50

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Solution

The third proportional to 118,994 and 250,259.50 is: 526,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,994 : 250,259.50 = 250,259.50 : x
  2. Step 2: Convert to fraction form
    118,994/250,259.50 = 250,259.50/x
  3. Step 3: Cross multiply
    118,994x = 250,259.50 × 250,259.50
  4. Step 4: Simplify right side
    118,994x = 62,629,817,340.25
  5. Step 5: Solve for x
    x = 62,629,817,340.25/118,994
  6. Step 6: Final answer
    x = 526,327.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.