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Finding the Third Proportional to 245,668 and 368,430

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Solution

The third proportional to 245,668 and 368,430 is: 552,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,668 : 368,430 = 368,430 : x
  2. Step 2: Convert to fraction form
    245,668/368,430 = 368,430/x
  3. Step 3: Cross multiply
    245,668x = 368,430 × 368,430
  4. Step 4: Simplify right side
    245,668x = 135,740,664,900
  5. Step 5: Solve for x
    x = 135,740,664,900/245,668
  6. Step 6: Final answer
    x = 552,537.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.