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Finding the Third Proportional to 101,312 and 234,538

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Solution

The third proportional to 101,312 and 234,538 is: 542,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,312 : 234,538 = 234,538 : x
  2. Step 2: Convert to fraction form
    101,312/234,538 = 234,538/x
  3. Step 3: Cross multiply
    101,312x = 234,538 × 234,538
  4. Step 4: Simplify right side
    101,312x = 55,008,073,444
  5. Step 5: Solve for x
    x = 55,008,073,444/101,312
  6. Step 6: Final answer
    x = 542,957.14

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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.