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Finding the Third Proportional to 105,349.50 and 228,561

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Solution

The third proportional to 105,349.50 and 228,561 is: 495,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,349.50 : 228,561 = 228,561 : x
  2. Step 2: Convert to fraction form
    105,349.50/228,561 = 228,561/x
  3. Step 3: Cross multiply
    105,349.50x = 228,561 × 228,561
  4. Step 4: Simplify right side
    105,349.50x = 52,240,130,721
  5. Step 5: Solve for x
    x = 52,240,130,721/105,349.50
  6. Step 6: Final answer
    x = 495,874.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.