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Finding the Third Proportional to 239,575.50 and 359,370

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Solution

The third proportional to 239,575.50 and 359,370 is: 539,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,575.50 : 359,370 = 359,370 : x
  2. Step 2: Convert to fraction form
    239,575.50/359,370 = 359,370/x
  3. Step 3: Cross multiply
    239,575.50x = 359,370 × 359,370
  4. Step 4: Simplify right side
    239,575.50x = 129,146,796,900
  5. Step 5: Solve for x
    x = 129,146,796,900/239,575.50
  6. Step 6: Final answer
    x = 539,065.13

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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.