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Finding the Third Proportional to 165,657.50 and 360,313

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Solution

The third proportional to 165,657.50 and 360,313 is: 783,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,657.50 : 360,313 = 360,313 : x
  2. Step 2: Convert to fraction form
    165,657.50/360,313 = 360,313/x
  3. Step 3: Cross multiply
    165,657.50x = 360,313 × 360,313
  4. Step 4: Simplify right side
    165,657.50x = 129,825,457,969
  5. Step 5: Solve for x
    x = 129,825,457,969/165,657.50
  6. Step 6: Final answer
    x = 783,698.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.