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Finding the Third Proportional to 150,895.69 and 314,182.69

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Solution

The third proportional to 150,895.69 and 314,182.69 is: 654,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,895.69 : 314,182.69 = 314,182.69 : x
  2. Step 2: Convert to fraction form
    150,895.69/314,182.69 = 314,182.69/x
  3. Step 3: Cross multiply
    150,895.69x = 314,182.69 × 314,182.69
  4. Step 4: Simplify right side
    150,895.69x = 98,710,761,124.72
  5. Step 5: Solve for x
    x = 98,710,761,124.72/150,895.69
  6. Step 6: Final answer
    x = 654,165.55

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.