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Finding the Third Proportional to 176,943 and 373,830

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Solution

The third proportional to 176,943 and 373,830 is: 789,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,943 : 373,830 = 373,830 : x
  2. Step 2: Convert to fraction form
    176,943/373,830 = 373,830/x
  3. Step 3: Cross multiply
    176,943x = 373,830 × 373,830
  4. Step 4: Simplify right side
    176,943x = 139,748,868,900
  5. Step 5: Solve for x
    x = 139,748,868,900/176,943
  6. Step 6: Final answer
    x = 789,795.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.