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Finding the Third Proportional to 165,481.50 and 357,201

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Solution

The third proportional to 165,481.50 and 357,201 is: 771,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,481.50 : 357,201 = 357,201 : x
  2. Step 2: Convert to fraction form
    165,481.50/357,201 = 357,201/x
  3. Step 3: Cross multiply
    165,481.50x = 357,201 × 357,201
  4. Step 4: Simplify right side
    165,481.50x = 127,592,554,401
  5. Step 5: Solve for x
    x = 127,592,554,401/165,481.50
  6. Step 6: Final answer
    x = 771,038.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.