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Finding the Third Proportional to 233,542 and 361,248

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Solution

The third proportional to 233,542 and 361,248 is: 558,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,542 : 361,248 = 361,248 : x
  2. Step 2: Convert to fraction form
    233,542/361,248 = 361,248/x
  3. Step 3: Cross multiply
    233,542x = 361,248 × 361,248
  4. Step 4: Simplify right side
    233,542x = 130,500,117,504
  5. Step 5: Solve for x
    x = 130,500,117,504/233,542
  6. Step 6: Final answer
    x = 558,786.50

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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.