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Finding the Third Proportional to 221,730 and 341,343

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Solution

The third proportional to 221,730 and 341,343 is: 525,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,730 : 341,343 = 341,343 : x
  2. Step 2: Convert to fraction form
    221,730/341,343 = 341,343/x
  3. Step 3: Cross multiply
    221,730x = 341,343 × 341,343
  4. Step 4: Simplify right side
    221,730x = 116,515,043,649
  5. Step 5: Solve for x
    x = 116,515,043,649/221,730
  6. Step 6: Final answer
    x = 525,481.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.