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Finding the Third Proportional to 202,152 and 239,058

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Solution

The third proportional to 202,152 and 239,058 is: 282,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152 : 239,058 = 239,058 : x
  2. Step 2: Convert to fraction form
    202,152/239,058 = 239,058/x
  3. Step 3: Cross multiply
    202,152x = 239,058 × 239,058
  4. Step 4: Simplify right side
    202,152x = 57,148,727,364
  5. Step 5: Solve for x
    x = 57,148,727,364/202,152
  6. Step 6: Final answer
    x = 282,701.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.