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Finding the Third Proportional to 217,301.25 and 345,769.50

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Solution

The third proportional to 217,301.25 and 345,769.50 is: 550,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,301.25 : 345,769.50 = 345,769.50 : x
  2. Step 2: Convert to fraction form
    217,301.25/345,769.50 = 345,769.50/x
  3. Step 3: Cross multiply
    217,301.25x = 345,769.50 × 345,769.50
  4. Step 4: Simplify right side
    217,301.25x = 119,556,547,130.25
  5. Step 5: Solve for x
    x = 119,556,547,130.25/217,301.25
  6. Step 6: Final answer
    x = 550,188.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.