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Finding the Third Proportional to 176,342 and 384,154

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Solution

The third proportional to 176,342 and 384,154 is: 836,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,342 : 384,154 = 384,154 : x
  2. Step 2: Convert to fraction form
    176,342/384,154 = 384,154/x
  3. Step 3: Cross multiply
    176,342x = 384,154 × 384,154
  4. Step 4: Simplify right side
    176,342x = 147,574,295,716
  5. Step 5: Solve for x
    x = 147,574,295,716/176,342
  6. Step 6: Final answer
    x = 836,864.14

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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.