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Finding the Third Proportional to 238,090 and 360,207

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Solution

The third proportional to 238,090 and 360,207 is: 544,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,090 : 360,207 = 360,207 : x
  2. Step 2: Convert to fraction form
    238,090/360,207 = 360,207/x
  3. Step 3: Cross multiply
    238,090x = 360,207 × 360,207
  4. Step 4: Simplify right side
    238,090x = 129,749,082,849
  5. Step 5: Solve for x
    x = 129,749,082,849/238,090
  6. Step 6: Final answer
    x = 544,958.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.