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Finding the Third Proportional to 163,903.50 and 357,594.75

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Solution

The third proportional to 163,903.50 and 357,594.75 is: 780,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,903.50 : 357,594.75 = 357,594.75 : x
  2. Step 2: Convert to fraction form
    163,903.50/357,594.75 = 357,594.75/x
  3. Step 3: Cross multiply
    163,903.50x = 357,594.75 × 357,594.75
  4. Step 4: Simplify right side
    163,903.50x = 127,874,005,227.56
  5. Step 5: Solve for x
    x = 127,874,005,227.56/163,903.50
  6. Step 6: Final answer
    x = 780,178.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.