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Finding the Third Proportional to 147,555.50 and 316,616

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Solution

The third proportional to 147,555.50 and 316,616 is: 679,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,555.50 : 316,616 = 316,616 : x
  2. Step 2: Convert to fraction form
    147,555.50/316,616 = 316,616/x
  3. Step 3: Cross multiply
    147,555.50x = 316,616 × 316,616
  4. Step 4: Simplify right side
    147,555.50x = 100,245,691,456
  5. Step 5: Solve for x
    x = 100,245,691,456/147,555.50
  6. Step 6: Final answer
    x = 679,376.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.