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Finding the Third Proportional to 221,814 and 341,289

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Solution

The third proportional to 221,814 and 341,289 is: 525,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,814 : 341,289 = 341,289 : x
  2. Step 2: Convert to fraction form
    221,814/341,289 = 341,289/x
  3. Step 3: Cross multiply
    221,814x = 341,289 × 341,289
  4. Step 4: Simplify right side
    221,814x = 116,478,181,521
  5. Step 5: Solve for x
    x = 116,478,181,521/221,814
  6. Step 6: Final answer
    x = 525,116.46

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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.