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Finding the Third Proportional to 245,599.50 and 380,388

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Solution

The third proportional to 245,599.50 and 380,388 is: 589,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,599.50 : 380,388 = 380,388 : x
  2. Step 2: Convert to fraction form
    245,599.50/380,388 = 380,388/x
  3. Step 3: Cross multiply
    245,599.50x = 380,388 × 380,388
  4. Step 4: Simplify right side
    245,599.50x = 144,695,030,544
  5. Step 5: Solve for x
    x = 144,695,030,544/245,599.50
  6. Step 6: Final answer
    x = 589,150.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.