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Finding the Third Proportional to 229,219.50 and 362,878.50

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Solution

The third proportional to 229,219.50 and 362,878.50 is: 574,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,219.50 : 362,878.50 = 362,878.50 : x
  2. Step 2: Convert to fraction form
    229,219.50/362,878.50 = 362,878.50/x
  3. Step 3: Cross multiply
    229,219.50x = 362,878.50 × 362,878.50
  4. Step 4: Simplify right side
    229,219.50x = 131,680,805,762.25
  5. Step 5: Solve for x
    x = 131,680,805,762.25/229,219.50
  6. Step 6: Final answer
    x = 574,474.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.