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Finding the Third Proportional to 119,888 and 186,270

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Solution

The third proportional to 119,888 and 186,270 is: 289,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,888 : 186,270 = 186,270 : x
  2. Step 2: Convert to fraction form
    119,888/186,270 = 186,270/x
  3. Step 3: Cross multiply
    119,888x = 186,270 × 186,270
  4. Step 4: Simplify right side
    119,888x = 34,696,512,900
  5. Step 5: Solve for x
    x = 34,696,512,900/119,888
  6. Step 6: Final answer
    x = 289,407.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.