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Finding the Third Proportional to 188,907.19 and 256,501.69

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Solution

The third proportional to 188,907.19 and 256,501.69 is: 348,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,907.19 : 256,501.69 = 256,501.69 : x
  2. Step 2: Convert to fraction form
    188,907.19/256,501.69 = 256,501.69/x
  3. Step 3: Cross multiply
    188,907.19x = 256,501.69 × 256,501.69
  4. Step 4: Simplify right side
    188,907.19x = 65,793,115,690.35
  5. Step 5: Solve for x
    x = 65,793,115,690.35/188,907.19
  6. Step 6: Final answer
    x = 348,282.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.