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Finding the Third Proportional to 239,534 and 359,319

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Solution

The third proportional to 239,534 and 359,319 is: 539,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,534 : 359,319 = 359,319 : x
  2. Step 2: Convert to fraction form
    239,534/359,319 = 359,319/x
  3. Step 3: Cross multiply
    239,534x = 359,319 × 359,319
  4. Step 4: Simplify right side
    239,534x = 129,110,143,761
  5. Step 5: Solve for x
    x = 129,110,143,761/239,534
  6. Step 6: Final answer
    x = 539,005.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.