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Finding the Third Proportional to 118,518 and 250,978.50

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Solution

The third proportional to 118,518 and 250,978.50 is: 531,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,518 : 250,978.50 = 250,978.50 : x
  2. Step 2: Convert to fraction form
    118,518/250,978.50 = 250,978.50/x
  3. Step 3: Cross multiply
    118,518x = 250,978.50 × 250,978.50
  4. Step 4: Simplify right side
    118,518x = 62,990,207,462.25
  5. Step 5: Solve for x
    x = 62,990,207,462.25/118,518
  6. Step 6: Final answer
    x = 531,482.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.