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Finding the Third Proportional to 173,888 and 366,457

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Solution

The third proportional to 173,888 and 366,457 is: 772,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,888 : 366,457 = 366,457 : x
  2. Step 2: Convert to fraction form
    173,888/366,457 = 366,457/x
  3. Step 3: Cross multiply
    173,888x = 366,457 × 366,457
  4. Step 4: Simplify right side
    173,888x = 134,290,732,849
  5. Step 5: Solve for x
    x = 134,290,732,849/173,888
  6. Step 6: Final answer
    x = 772,282.92

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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.