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Finding the Third Proportional to 147,217.50 and 317,749.50

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Solution

The third proportional to 147,217.50 and 317,749.50 is: 685,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,217.50 : 317,749.50 = 317,749.50 : x
  2. Step 2: Convert to fraction form
    147,217.50/317,749.50 = 317,749.50/x
  3. Step 3: Cross multiply
    147,217.50x = 317,749.50 × 317,749.50
  4. Step 4: Simplify right side
    147,217.50x = 100,964,744,750.25
  5. Step 5: Solve for x
    x = 100,964,744,750.25/147,217.50
  6. Step 6: Final answer
    x = 685,820.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.