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Finding the Third Proportional to 177,838 and 316,202

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Solution

The third proportional to 177,838 and 316,202 is: 562,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838 : 316,202 = 316,202 : x
  2. Step 2: Convert to fraction form
    177,838/316,202 = 316,202/x
  3. Step 3: Cross multiply
    177,838x = 316,202 × 316,202
  4. Step 4: Simplify right side
    177,838x = 99,983,704,804
  5. Step 5: Solve for x
    x = 99,983,704,804/177,838
  6. Step 6: Final answer
    x = 562,217.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.