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Finding the Third Proportional to 182,295.56 and 275,962.10

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Solution

The third proportional to 182,295.56 and 275,962.10 is: 417,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,295.56 : 275,962.10 = 275,962.10 : x
  2. Step 2: Convert to fraction form
    182,295.56/275,962.10 = 275,962.10/x
  3. Step 3: Cross multiply
    182,295.56x = 275,962.10 × 275,962.10
  4. Step 4: Simplify right side
    182,295.56x = 76,155,078,264.86
  5. Step 5: Solve for x
    x = 76,155,078,264.86/182,295.56
  6. Step 6: Final answer
    x = 417,756.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.