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Finding the Third Proportional to 116,945 and 176,470

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Solution

The third proportional to 116,945 and 176,470 is: 266,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,945 : 176,470 = 176,470 : x
  2. Step 2: Convert to fraction form
    116,945/176,470 = 176,470/x
  3. Step 3: Cross multiply
    116,945x = 176,470 × 176,470
  4. Step 4: Simplify right side
    116,945x = 31,141,660,900
  5. Step 5: Solve for x
    x = 31,141,660,900/116,945
  6. Step 6: Final answer
    x = 266,293.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.