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Finding the Third Proportional to 103,394 and 223,294

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Solution

The third proportional to 103,394 and 223,294 is: 482,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,394 : 223,294 = 223,294 : x
  2. Step 2: Convert to fraction form
    103,394/223,294 = 223,294/x
  3. Step 3: Cross multiply
    103,394x = 223,294 × 223,294
  4. Step 4: Simplify right side
    103,394x = 49,860,210,436
  5. Step 5: Solve for x
    x = 49,860,210,436/103,394
  6. Step 6: Final answer
    x = 482,235.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.