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Finding the Third Proportional to 175,328.44 and 383,461.31

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Solution

The third proportional to 175,328.44 and 383,461.31 is: 838,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,328.44 : 383,461.31 = 383,461.31 : x
  2. Step 2: Convert to fraction form
    175,328.44/383,461.31 = 383,461.31/x
  3. Step 3: Cross multiply
    175,328.44x = 383,461.31 × 383,461.31
  4. Step 4: Simplify right side
    175,328.44x = 147,042,578,184.22
  5. Step 5: Solve for x
    x = 147,042,578,184.22/175,328.44
  6. Step 6: Final answer
    x = 838,669.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.