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Finding the Third Proportional to 237,424 and 369,752

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Solution

The third proportional to 237,424 and 369,752 is: 575,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,424 : 369,752 = 369,752 : x
  2. Step 2: Convert to fraction form
    237,424/369,752 = 369,752/x
  3. Step 3: Cross multiply
    237,424x = 369,752 × 369,752
  4. Step 4: Simplify right side
    237,424x = 136,716,541,504
  5. Step 5: Solve for x
    x = 136,716,541,504/237,424
  6. Step 6: Final answer
    x = 575,832.86

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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.