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Finding the Third Proportional to 163,356 and 359,820

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Solution

The third proportional to 163,356 and 359,820 is: 792,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,356 : 359,820 = 359,820 : x
  2. Step 2: Convert to fraction form
    163,356/359,820 = 359,820/x
  3. Step 3: Cross multiply
    163,356x = 359,820 × 359,820
  4. Step 4: Simplify right side
    163,356x = 129,470,432,400
  5. Step 5: Solve for x
    x = 129,470,432,400/163,356
  6. Step 6: Final answer
    x = 792,566.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.