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Finding the Third Proportional to 228,476 and 357,294

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Solution

The third proportional to 228,476 and 357,294 is: 558,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,476 : 357,294 = 357,294 : x
  2. Step 2: Convert to fraction form
    228,476/357,294 = 357,294/x
  3. Step 3: Cross multiply
    228,476x = 357,294 × 357,294
  4. Step 4: Simplify right side
    228,476x = 127,659,002,436
  5. Step 5: Solve for x
    x = 127,659,002,436/228,476
  6. Step 6: Final answer
    x = 558,741.41

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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.