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Finding the Third Proportional to 150,513 and 329,011.50

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Solution

The third proportional to 150,513 and 329,011.50 is: 719,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,513 : 329,011.50 = 329,011.50 : x
  2. Step 2: Convert to fraction form
    150,513/329,011.50 = 329,011.50/x
  3. Step 3: Cross multiply
    150,513x = 329,011.50 × 329,011.50
  4. Step 4: Simplify right side
    150,513x = 108,248,567,132.25
  5. Step 5: Solve for x
    x = 108,248,567,132.25/150,513
  6. Step 6: Final answer
    x = 719,197.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.