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Finding the Third Proportional to 164,303 and 239,991

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Solution

The third proportional to 164,303 and 239,991 is: 350,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,303 : 239,991 = 239,991 : x
  2. Step 2: Convert to fraction form
    164,303/239,991 = 239,991/x
  3. Step 3: Cross multiply
    164,303x = 239,991 × 239,991
  4. Step 4: Simplify right side
    164,303x = 57,595,680,081
  5. Step 5: Solve for x
    x = 57,595,680,081/164,303
  6. Step 6: Final answer
    x = 350,545.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.