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Finding the Third Proportional to 164,340 and 240,660

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Solution

The third proportional to 164,340 and 240,660 is: 352,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,340 : 240,660 = 240,660 : x
  2. Step 2: Convert to fraction form
    164,340/240,660 = 240,660/x
  3. Step 3: Cross multiply
    164,340x = 240,660 × 240,660
  4. Step 4: Simplify right side
    164,340x = 57,917,235,600
  5. Step 5: Solve for x
    x = 57,917,235,600/164,340
  6. Step 6: Final answer
    x = 352,423.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.