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Finding the Third Proportional to 180,123 and 390,768

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Solution

The third proportional to 180,123 and 390,768 is: 847,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123 : 390,768 = 390,768 : x
  2. Step 2: Convert to fraction form
    180,123/390,768 = 390,768/x
  3. Step 3: Cross multiply
    180,123x = 390,768 × 390,768
  4. Step 4: Simplify right side
    180,123x = 152,699,629,824
  5. Step 5: Solve for x
    x = 152,699,629,824/180,123
  6. Step 6: Final answer
    x = 847,751.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.