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Finding the Third Proportional to 188,152.88 and 402,063.75

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Solution

The third proportional to 188,152.88 and 402,063.75 is: 859,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,152.88 : 402,063.75 = 402,063.75 : x
  2. Step 2: Convert to fraction form
    188,152.88/402,063.75 = 402,063.75/x
  3. Step 3: Cross multiply
    188,152.88x = 402,063.75 × 402,063.75
  4. Step 4: Simplify right side
    188,152.88x = 161,655,259,064.06
  5. Step 5: Solve for x
    x = 161,655,259,064.06/188,152.88
  6. Step 6: Final answer
    x = 859,169.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.