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Finding the Third Proportional to 164,829 and 247,134

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Solution

The third proportional to 164,829 and 247,134 is: 370,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,829 : 247,134 = 247,134 : x
  2. Step 2: Convert to fraction form
    164,829/247,134 = 247,134/x
  3. Step 3: Cross multiply
    164,829x = 247,134 × 247,134
  4. Step 4: Simplify right side
    164,829x = 61,075,213,956
  5. Step 5: Solve for x
    x = 61,075,213,956/164,829
  6. Step 6: Final answer
    x = 370,536.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.