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Finding the Third Proportional to 158,451.75 and 245,722.50

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Solution

The third proportional to 158,451.75 and 245,722.50 is: 381,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,451.75 : 245,722.50 = 245,722.50 : x
  2. Step 2: Convert to fraction form
    158,451.75/245,722.50 = 245,722.50/x
  3. Step 3: Cross multiply
    158,451.75x = 245,722.50 × 245,722.50
  4. Step 4: Simplify right side
    158,451.75x = 60,379,547,006.25
  5. Step 5: Solve for x
    x = 60,379,547,006.25/158,451.75
  6. Step 6: Final answer
    x = 381,059.52

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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.