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Finding the Third Proportional to 165,430.50 and 350,361

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Solution

The third proportional to 165,430.50 and 350,361 is: 742,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,430.50 : 350,361 = 350,361 : x
  2. Step 2: Convert to fraction form
    165,430.50/350,361 = 350,361/x
  3. Step 3: Cross multiply
    165,430.50x = 350,361 × 350,361
  4. Step 4: Simplify right side
    165,430.50x = 122,752,830,321
  5. Step 5: Solve for x
    x = 122,752,830,321/165,430.50
  6. Step 6: Final answer
    x = 742,020.55

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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.