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Finding the Third Proportional to 163,729 and 357,894

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Solution

The third proportional to 163,729 and 357,894 is: 782,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,729 : 357,894 = 357,894 : x
  2. Step 2: Convert to fraction form
    163,729/357,894 = 357,894/x
  3. Step 3: Cross multiply
    163,729x = 357,894 × 357,894
  4. Step 4: Simplify right side
    163,729x = 128,088,115,236
  5. Step 5: Solve for x
    x = 128,088,115,236/163,729
  6. Step 6: Final answer
    x = 782,317.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.