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Finding the Third Proportional to 155,975.50 and 341,037

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Solution

The third proportional to 155,975.50 and 341,037 is: 745,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,975.50 : 341,037 = 341,037 : x
  2. Step 2: Convert to fraction form
    155,975.50/341,037 = 341,037/x
  3. Step 3: Cross multiply
    155,975.50x = 341,037 × 341,037
  4. Step 4: Simplify right side
    155,975.50x = 116,306,235,369
  5. Step 5: Solve for x
    x = 116,306,235,369/155,975.50
  6. Step 6: Final answer
    x = 745,669.90

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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.