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Finding the Third Proportional to 238,153 and 509,058

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Solution

The third proportional to 238,153 and 509,058 is: 1,088,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,153 : 509,058 = 509,058 : x
  2. Step 2: Convert to fraction form
    238,153/509,058 = 509,058/x
  3. Step 3: Cross multiply
    238,153x = 509,058 × 509,058
  4. Step 4: Simplify right side
    238,153x = 259,140,047,364
  5. Step 5: Solve for x
    x = 259,140,047,364/238,153
  6. Step 6: Final answer
    x = 1,088,124.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.