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Finding the Third Proportional to 155,677.50 and 329,865.50

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Solution

The third proportional to 155,677.50 and 329,865.50 is: 698,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,677.50 : 329,865.50 = 329,865.50 : x
  2. Step 2: Convert to fraction form
    155,677.50/329,865.50 = 329,865.50/x
  3. Step 3: Cross multiply
    155,677.50x = 329,865.50 × 329,865.50
  4. Step 4: Simplify right side
    155,677.50x = 108,811,248,090.25
  5. Step 5: Solve for x
    x = 108,811,248,090.25/155,677.50
  6. Step 6: Final answer
    x = 698,952.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.