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Finding the Third Proportional to 176,688 and 377,190

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Solution

The third proportional to 176,688 and 377,190 is: 805,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,688 : 377,190 = 377,190 : x
  2. Step 2: Convert to fraction form
    176,688/377,190 = 377,190/x
  3. Step 3: Cross multiply
    176,688x = 377,190 × 377,190
  4. Step 4: Simplify right side
    176,688x = 142,272,296,100
  5. Step 5: Solve for x
    x = 142,272,296,100/176,688
  6. Step 6: Final answer
    x = 805,217.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.