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Finding the Third Proportional to 250,850.25 and 549,301.50

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Solution

The third proportional to 250,850.25 and 549,301.50 is: 1,202,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,850.25 : 549,301.50 = 549,301.50 : x
  2. Step 2: Convert to fraction form
    250,850.25/549,301.50 = 549,301.50/x
  3. Step 3: Cross multiply
    250,850.25x = 549,301.50 × 549,301.50
  4. Step 4: Simplify right side
    250,850.25x = 301,732,137,902.25
  5. Step 5: Solve for x
    x = 301,732,137,902.25/250,850.25
  6. Step 6: Final answer
    x = 1,202,837.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.