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Finding the Third Proportional to 188,500.50 and 390,123

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Solution

The third proportional to 188,500.50 and 390,123 is: 807,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,500.50 : 390,123 = 390,123 : x
  2. Step 2: Convert to fraction form
    188,500.50/390,123 = 390,123/x
  3. Step 3: Cross multiply
    188,500.50x = 390,123 × 390,123
  4. Step 4: Simplify right side
    188,500.50x = 152,195,955,129
  5. Step 5: Solve for x
    x = 152,195,955,129/188,500.50
  6. Step 6: Final answer
    x = 807,403.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.