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Finding the Third Proportional to 176,394 and 380,436

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Solution

The third proportional to 176,394 and 380,436 is: 820,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,394 : 380,436 = 380,436 : x
  2. Step 2: Convert to fraction form
    176,394/380,436 = 380,436/x
  3. Step 3: Cross multiply
    176,394x = 380,436 × 380,436
  4. Step 4: Simplify right side
    176,394x = 144,731,550,096
  5. Step 5: Solve for x
    x = 144,731,550,096/176,394
  6. Step 6: Final answer
    x = 820,501.55

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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.