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Finding the Third Proportional to 174,623.34 and 383,537.53

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Solution

The third proportional to 174,623.34 and 383,537.53 is: 842,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,623.34 : 383,537.53 = 383,537.53 : x
  2. Step 2: Convert to fraction form
    174,623.34/383,537.53 = 383,537.53/x
  3. Step 3: Cross multiply
    174,623.34x = 383,537.53 × 383,537.53
  4. Step 4: Simplify right side
    174,623.34x = 147,101,037,877.35
  5. Step 5: Solve for x
    x = 147,101,037,877.35/174,623.34
  6. Step 6: Final answer
    x = 842,390.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.