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Finding the Third Proportional to 237,312 and 367,328

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Solution

The third proportional to 237,312 and 367,328 is: 568,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,312 : 367,328 = 367,328 : x
  2. Step 2: Convert to fraction form
    237,312/367,328 = 367,328/x
  3. Step 3: Cross multiply
    237,312x = 367,328 × 367,328
  4. Step 4: Simplify right side
    237,312x = 134,929,859,584
  5. Step 5: Solve for x
    x = 134,929,859,584/237,312
  6. Step 6: Final answer
    x = 568,575.80

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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.