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Finding the Third Proportional to 134,181 and 212,206.50

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Solution

The third proportional to 134,181 and 212,206.50 is: 335,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,181 : 212,206.50 = 212,206.50 : x
  2. Step 2: Convert to fraction form
    134,181/212,206.50 = 212,206.50/x
  3. Step 3: Cross multiply
    134,181x = 212,206.50 × 212,206.50
  4. Step 4: Simplify right side
    134,181x = 45,031,598,642.25
  5. Step 5: Solve for x
    x = 45,031,598,642.25/134,181
  6. Step 6: Final answer
    x = 335,603.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.