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Finding the Third Proportional to 217,319.63 and 332,437.50

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Solution

The third proportional to 217,319.63 and 332,437.50 is: 508,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,319.63 : 332,437.50 = 332,437.50 : x
  2. Step 2: Convert to fraction form
    217,319.63/332,437.50 = 332,437.50/x
  3. Step 3: Cross multiply
    217,319.63x = 332,437.50 × 332,437.50
  4. Step 4: Simplify right side
    217,319.63x = 110,514,691,406.25
  5. Step 5: Solve for x
    x = 110,514,691,406.25/217,319.63
  6. Step 6: Final answer
    x = 508,535.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.