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Finding the Third Proportional to 237,762 and 369,339

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Solution

The third proportional to 237,762 and 369,339 is: 573,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,762 : 369,339 = 369,339 : x
  2. Step 2: Convert to fraction form
    237,762/369,339 = 369,339/x
  3. Step 3: Cross multiply
    237,762x = 369,339 × 369,339
  4. Step 4: Simplify right side
    237,762x = 136,411,296,921
  5. Step 5: Solve for x
    x = 136,411,296,921/237,762
  6. Step 6: Final answer
    x = 573,730.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.