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Finding the Third Proportional to 193,887.50 and 410,130

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Solution

The third proportional to 193,887.50 and 410,130 is: 867,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,887.50 : 410,130 = 410,130 : x
  2. Step 2: Convert to fraction form
    193,887.50/410,130 = 410,130/x
  3. Step 3: Cross multiply
    193,887.50x = 410,130 × 410,130
  4. Step 4: Simplify right side
    193,887.50x = 168,206,616,900
  5. Step 5: Solve for x
    x = 168,206,616,900/193,887.50
  6. Step 6: Final answer
    x = 867,547.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.