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Finding the Third Proportional to 186,970 and 262,352

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Solution

The third proportional to 186,970 and 262,352 is: 368,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,970 : 262,352 = 262,352 : x
  2. Step 2: Convert to fraction form
    186,970/262,352 = 262,352/x
  3. Step 3: Cross multiply
    186,970x = 262,352 × 262,352
  4. Step 4: Simplify right side
    186,970x = 68,828,571,904
  5. Step 5: Solve for x
    x = 68,828,571,904/186,970
  6. Step 6: Final answer
    x = 368,126.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.