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Finding the Third Proportional to 106,575 and 235,381.50

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Solution

The third proportional to 106,575 and 235,381.50 is: 519,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,575 : 235,381.50 = 235,381.50 : x
  2. Step 2: Convert to fraction form
    106,575/235,381.50 = 235,381.50/x
  3. Step 3: Cross multiply
    106,575x = 235,381.50 × 235,381.50
  4. Step 4: Simplify right side
    106,575x = 55,404,450,542.25
  5. Step 5: Solve for x
    x = 55,404,450,542.25/106,575
  6. Step 6: Final answer
    x = 519,863.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.