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Finding the Third Proportional to 229,165.50 and 493,437

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Solution

The third proportional to 229,165.50 and 493,437 is: 1,062,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.50 : 493,437 = 493,437 : x
  2. Step 2: Convert to fraction form
    229,165.50/493,437 = 493,437/x
  3. Step 3: Cross multiply
    229,165.50x = 493,437 × 493,437
  4. Step 4: Simplify right side
    229,165.50x = 243,480,072,969
  5. Step 5: Solve for x
    x = 243,480,072,969/229,165.50
  6. Step 6: Final answer
    x = 1,062,463.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.