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Finding the Third Proportional to 221,572 and 341,574

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Solution

The third proportional to 221,572 and 341,574 is: 526,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572 : 341,574 = 341,574 : x
  2. Step 2: Convert to fraction form
    221,572/341,574 = 341,574/x
  3. Step 3: Cross multiply
    221,572x = 341,574 × 341,574
  4. Step 4: Simplify right side
    221,572x = 116,672,797,476
  5. Step 5: Solve for x
    x = 116,672,797,476/221,572
  6. Step 6: Final answer
    x = 526,568.33

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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.