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Finding the Third Proportional to 162,199 and 355,973

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Solution

The third proportional to 162,199 and 355,973 is: 781,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,199 : 355,973 = 355,973 : x
  2. Step 2: Convert to fraction form
    162,199/355,973 = 355,973/x
  3. Step 3: Cross multiply
    162,199x = 355,973 × 355,973
  4. Step 4: Simplify right side
    162,199x = 126,716,776,729
  5. Step 5: Solve for x
    x = 126,716,776,729/162,199
  6. Step 6: Final answer
    x = 781,242.65

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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.