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Finding the Third Proportional to 175,348.75 and 383,509.50

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Solution

The third proportional to 175,348.75 and 383,509.50 is: 838,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,348.75 : 383,509.50 = 383,509.50 : x
  2. Step 2: Convert to fraction form
    175,348.75/383,509.50 = 383,509.50/x
  3. Step 3: Cross multiply
    175,348.75x = 383,509.50 × 383,509.50
  4. Step 4: Simplify right side
    175,348.75x = 147,079,536,590.25
  5. Step 5: Solve for x
    x = 147,079,536,590.25/175,348.75
  6. Step 6: Final answer
    x = 838,782.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.