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Finding the Third Proportional to 155,957.50 and 328,212.50

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Solution

The third proportional to 155,957.50 and 328,212.50 is: 690,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,957.50 : 328,212.50 = 328,212.50 : x
  2. Step 2: Convert to fraction form
    155,957.50/328,212.50 = 328,212.50/x
  3. Step 3: Cross multiply
    155,957.50x = 328,212.50 × 328,212.50
  4. Step 4: Simplify right side
    155,957.50x = 107,723,445,156.25
  5. Step 5: Solve for x
    x = 107,723,445,156.25/155,957.50
  6. Step 6: Final answer
    x = 690,723.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.