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Finding the Third Proportional to 159,514.50 and 348,004.50

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Solution

The third proportional to 159,514.50 and 348,004.50 is: 759,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,514.50 : 348,004.50 = 348,004.50 : x
  2. Step 2: Convert to fraction form
    159,514.50/348,004.50 = 348,004.50/x
  3. Step 3: Cross multiply
    159,514.50x = 348,004.50 × 348,004.50
  4. Step 4: Simplify right side
    159,514.50x = 121,107,132,020.25
  5. Step 5: Solve for x
    x = 121,107,132,020.25/159,514.50
  6. Step 6: Final answer
    x = 759,223.34

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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.