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Finding the Third Proportional to 221,419 and 352,490

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Solution

The third proportional to 221,419 and 352,490 is: 561,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,419 : 352,490 = 352,490 : x
  2. Step 2: Convert to fraction form
    221,419/352,490 = 352,490/x
  3. Step 3: Cross multiply
    221,419x = 352,490 × 352,490
  4. Step 4: Simplify right side
    221,419x = 124,249,200,100
  5. Step 5: Solve for x
    x = 124,249,200,100/221,419
  6. Step 6: Final answer
    x = 561,149.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.