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Finding the Third Proportional to 173,314.50 and 235,482

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Solution

The third proportional to 173,314.50 and 235,482 is: 319,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,314.50 : 235,482 = 235,482 : x
  2. Step 2: Convert to fraction form
    173,314.50/235,482 = 235,482/x
  3. Step 3: Cross multiply
    173,314.50x = 235,482 × 235,482
  4. Step 4: Simplify right side
    173,314.50x = 55,451,772,324
  5. Step 5: Solve for x
    x = 55,451,772,324/173,314.50
  6. Step 6: Final answer
    x = 319,948.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.