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Finding the Third Proportional to 158,780 and 245,746

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Solution

The third proportional to 158,780 and 245,746 is: 380,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,780 : 245,746 = 245,746 : x
  2. Step 2: Convert to fraction form
    158,780/245,746 = 245,746/x
  3. Step 3: Cross multiply
    158,780x = 245,746 × 245,746
  4. Step 4: Simplify right side
    158,780x = 60,391,096,516
  5. Step 5: Solve for x
    x = 60,391,096,516/158,780
  6. Step 6: Final answer
    x = 380,344.48

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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.