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Finding the Third Proportional to 162,384.75 and 354,202.88

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Solution

The third proportional to 162,384.75 and 354,202.88 is: 772,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,384.75 : 354,202.88 = 354,202.88 : x
  2. Step 2: Convert to fraction form
    162,384.75/354,202.88 = 354,202.88/x
  3. Step 3: Cross multiply
    162,384.75x = 354,202.88 × 354,202.88
  4. Step 4: Simplify right side
    162,384.75x = 125,459,676,658.27
  5. Step 5: Solve for x
    x = 125,459,676,658.27/162,384.75
  6. Step 6: Final answer
    x = 772,607.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.