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Finding the Third Proportional to 163,428 and 256,802

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Solution

The third proportional to 163,428 and 256,802 is: 403,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,428 : 256,802 = 256,802 : x
  2. Step 2: Convert to fraction form
    163,428/256,802 = 256,802/x
  3. Step 3: Cross multiply
    163,428x = 256,802 × 256,802
  4. Step 4: Simplify right side
    163,428x = 65,947,267,204
  5. Step 5: Solve for x
    x = 65,947,267,204/163,428
  6. Step 6: Final answer
    x = 403,524.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.