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Finding the Third Proportional to 165,960 and 238,572

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Solution

The third proportional to 165,960 and 238,572 is: 342,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,960 : 238,572 = 238,572 : x
  2. Step 2: Convert to fraction form
    165,960/238,572 = 238,572/x
  3. Step 3: Cross multiply
    165,960x = 238,572 × 238,572
  4. Step 4: Simplify right side
    165,960x = 56,916,599,184
  5. Step 5: Solve for x
    x = 56,916,599,184/165,960
  6. Step 6: Final answer
    x = 342,953.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.