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Finding the Third Proportional to 176,416 and 380,472

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Solution

The third proportional to 176,416 and 380,472 is: 820,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,416 : 380,472 = 380,472 : x
  2. Step 2: Convert to fraction form
    176,416/380,472 = 380,472/x
  3. Step 3: Cross multiply
    176,416x = 380,472 × 380,472
  4. Step 4: Simplify right side
    176,416x = 144,758,942,784
  5. Step 5: Solve for x
    x = 144,758,942,784/176,416
  6. Step 6: Final answer
    x = 820,554.50

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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.