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Finding the Third Proportional to 145,862 and 186,366

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Solution

The third proportional to 145,862 and 186,366 is: 238,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862 : 186,366 = 186,366 : x
  2. Step 2: Convert to fraction form
    145,862/186,366 = 186,366/x
  3. Step 3: Cross multiply
    145,862x = 186,366 × 186,366
  4. Step 4: Simplify right side
    145,862x = 34,732,285,956
  5. Step 5: Solve for x
    x = 34,732,285,956/145,862
  6. Step 6: Final answer
    x = 238,117.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.