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Finding the Third Proportional to 103,058 and 238,597

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Solution

The third proportional to 103,058 and 238,597 is: 552,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,058 : 238,597 = 238,597 : x
  2. Step 2: Convert to fraction form
    103,058/238,597 = 238,597/x
  3. Step 3: Cross multiply
    103,058x = 238,597 × 238,597
  4. Step 4: Simplify right side
    103,058x = 56,928,528,409
  5. Step 5: Solve for x
    x = 56,928,528,409/103,058
  6. Step 6: Final answer
    x = 552,393.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.