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Finding the Third Proportional to 135,513 and 201,307.50

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Solution

The third proportional to 135,513 and 201,307.50 is: 299,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,513 : 201,307.50 = 201,307.50 : x
  2. Step 2: Convert to fraction form
    135,513/201,307.50 = 201,307.50/x
  3. Step 3: Cross multiply
    135,513x = 201,307.50 × 201,307.50
  4. Step 4: Simplify right side
    135,513x = 40,524,709,556.25
  5. Step 5: Solve for x
    x = 40,524,709,556.25/135,513
  6. Step 6: Final answer
    x = 299,046.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.