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Finding the Third Proportional to 213,725.25 and 333,527.63

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Solution

The third proportional to 213,725.25 and 333,527.63 is: 520,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,725.25 : 333,527.63 = 333,527.63 : x
  2. Step 2: Convert to fraction form
    213,725.25/333,527.63 = 333,527.63/x
  3. Step 3: Cross multiply
    213,725.25x = 333,527.63 × 333,527.63
  4. Step 4: Simplify right side
    213,725.25x = 111,240,676,638.14
  5. Step 5: Solve for x
    x = 111,240,676,638.14/213,725.25
  6. Step 6: Final answer
    x = 520,484.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.