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Finding the Third Proportional to 223,832 and 354,428

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Solution

The third proportional to 223,832 and 354,428 is: 561,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,832 : 354,428 = 354,428 : x
  2. Step 2: Convert to fraction form
    223,832/354,428 = 354,428/x
  3. Step 3: Cross multiply
    223,832x = 354,428 × 354,428
  4. Step 4: Simplify right side
    223,832x = 125,619,207,184
  5. Step 5: Solve for x
    x = 125,619,207,184/223,832
  6. Step 6: Final answer
    x = 561,220.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.