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Finding the Third Proportional to 158,784 and 245,752

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Solution

The third proportional to 158,784 and 245,752 is: 380,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,784 : 245,752 = 245,752 : x
  2. Step 2: Convert to fraction form
    158,784/245,752 = 245,752/x
  3. Step 3: Cross multiply
    158,784x = 245,752 × 245,752
  4. Step 4: Simplify right side
    158,784x = 60,394,045,504
  5. Step 5: Solve for x
    x = 60,394,045,504/158,784
  6. Step 6: Final answer
    x = 380,353.47

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