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Finding the Third Proportional to 237,520 and 369,416

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Solution

The third proportional to 237,520 and 369,416 is: 574,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,520 : 369,416 = 369,416 : x
  2. Step 2: Convert to fraction form
    237,520/369,416 = 369,416/x
  3. Step 3: Cross multiply
    237,520x = 369,416 × 369,416
  4. Step 4: Simplify right side
    237,520x = 136,468,181,056
  5. Step 5: Solve for x
    x = 136,468,181,056/237,520
  6. Step 6: Final answer
    x = 574,554.48

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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.