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Finding the Third Proportional to 120,207 and 257,090.25

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Solution

The third proportional to 120,207 and 257,090.25 is: 549,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,207 : 257,090.25 = 257,090.25 : x
  2. Step 2: Convert to fraction form
    120,207/257,090.25 = 257,090.25/x
  3. Step 3: Cross multiply
    120,207x = 257,090.25 × 257,090.25
  4. Step 4: Simplify right side
    120,207x = 66,095,396,645.06
  5. Step 5: Solve for x
    x = 66,095,396,645.06/120,207
  6. Step 6: Final answer
    x = 549,846.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.