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Finding the Third Proportional to 188,424 and 264,076

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Solution

The third proportional to 188,424 and 264,076 is: 370,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,424 : 264,076 = 264,076 : x
  2. Step 2: Convert to fraction form
    188,424/264,076 = 264,076/x
  3. Step 3: Cross multiply
    188,424x = 264,076 × 264,076
  4. Step 4: Simplify right side
    188,424x = 69,736,133,776
  5. Step 5: Solve for x
    x = 69,736,133,776/188,424
  6. Step 6: Final answer
    x = 370,102.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.