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Finding the Third Proportional to 229,774.50 and 373,029.75

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Solution

The third proportional to 229,774.50 and 373,029.75 is: 605,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,774.50 : 373,029.75 = 373,029.75 : x
  2. Step 2: Convert to fraction form
    229,774.50/373,029.75 = 373,029.75/x
  3. Step 3: Cross multiply
    229,774.50x = 373,029.75 × 373,029.75
  4. Step 4: Simplify right side
    229,774.50x = 139,151,194,385.06
  5. Step 5: Solve for x
    x = 139,151,194,385.06/229,774.50
  6. Step 6: Final answer
    x = 605,598.94

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.