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Finding the Third Proportional to 233,534 and 361,236

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Solution

The third proportional to 233,534 and 361,236 is: 558,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,534 : 361,236 = 361,236 : x
  2. Step 2: Convert to fraction form
    233,534/361,236 = 361,236/x
  3. Step 3: Cross multiply
    233,534x = 361,236 × 361,236
  4. Step 4: Simplify right side
    233,534x = 130,491,447,696
  5. Step 5: Solve for x
    x = 130,491,447,696/233,534
  6. Step 6: Final answer
    x = 558,768.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.