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Finding the Third Proportional to 164,501 and 247,966

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Solution

The third proportional to 164,501 and 247,966 is: 373,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,501 : 247,966 = 247,966 : x
  2. Step 2: Convert to fraction form
    164,501/247,966 = 247,966/x
  3. Step 3: Cross multiply
    164,501x = 247,966 × 247,966
  4. Step 4: Simplify right side
    164,501x = 61,487,137,156
  5. Step 5: Solve for x
    x = 61,487,137,156/164,501
  6. Step 6: Final answer
    x = 373,779.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.