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Finding the Third Proportional to 229,675.50 and 344,754

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Solution

The third proportional to 229,675.50 and 344,754 is: 517,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,675.50 : 344,754 = 344,754 : x
  2. Step 2: Convert to fraction form
    229,675.50/344,754 = 344,754/x
  3. Step 3: Cross multiply
    229,675.50x = 344,754 × 344,754
  4. Step 4: Simplify right side
    229,675.50x = 118,855,320,516
  5. Step 5: Solve for x
    x = 118,855,320,516/229,675.50
  6. Step 6: Final answer
    x = 517,492.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.