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Finding the Third Proportional to 176,581 and 384,685

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Solution

The third proportional to 176,581 and 384,685 is: 838,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,581 : 384,685 = 384,685 : x
  2. Step 2: Convert to fraction form
    176,581/384,685 = 384,685/x
  3. Step 3: Cross multiply
    176,581x = 384,685 × 384,685
  4. Step 4: Simplify right side
    176,581x = 147,982,549,225
  5. Step 5: Solve for x
    x = 147,982,549,225/176,581
  6. Step 6: Final answer
    x = 838,043.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.