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Finding the Third Proportional to 163,526 and 239,905

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Solution

The third proportional to 163,526 and 239,905 is: 351,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,526 : 239,905 = 239,905 : x
  2. Step 2: Convert to fraction form
    163,526/239,905 = 239,905/x
  3. Step 3: Cross multiply
    163,526x = 239,905 × 239,905
  4. Step 4: Simplify right side
    163,526x = 57,554,409,025
  5. Step 5: Solve for x
    x = 57,554,409,025/163,526
  6. Step 6: Final answer
    x = 351,958.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.