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Finding the Third Proportional to 221,757 and 341,246

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Solution

The third proportional to 221,757 and 341,246 is: 525,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,757 : 341,246 = 341,246 : x
  2. Step 2: Convert to fraction form
    221,757/341,246 = 341,246/x
  3. Step 3: Cross multiply
    221,757x = 341,246 × 341,246
  4. Step 4: Simplify right side
    221,757x = 116,448,832,516
  5. Step 5: Solve for x
    x = 116,448,832,516/221,757
  6. Step 6: Final answer
    x = 525,119.08

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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.