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Finding the Third Proportional to 106,289.50 and 233,312.50

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Solution

The third proportional to 106,289.50 and 233,312.50 is: 512,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,289.50 : 233,312.50 = 233,312.50 : x
  2. Step 2: Convert to fraction form
    106,289.50/233,312.50 = 233,312.50/x
  3. Step 3: Cross multiply
    106,289.50x = 233,312.50 × 233,312.50
  4. Step 4: Simplify right side
    106,289.50x = 54,434,722,656.25
  5. Step 5: Solve for x
    x = 54,434,722,656.25/106,289.50
  6. Step 6: Final answer
    x = 512,136.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.