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Finding the Third Proportional to 164,440 and 341,840

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Solution

The third proportional to 164,440 and 341,840 is: 710,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,440 : 341,840 = 341,840 : x
  2. Step 2: Convert to fraction form
    164,440/341,840 = 341,840/x
  3. Step 3: Cross multiply
    164,440x = 341,840 × 341,840
  4. Step 4: Simplify right side
    164,440x = 116,854,585,600
  5. Step 5: Solve for x
    x = 116,854,585,600/164,440
  6. Step 6: Final answer
    x = 710,621.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.