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Finding the Third Proportional to 163,050 and 250,650

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Solution

The third proportional to 163,050 and 250,650 is: 385,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,050 : 250,650 = 250,650 : x
  2. Step 2: Convert to fraction form
    163,050/250,650 = 250,650/x
  3. Step 3: Cross multiply
    163,050x = 250,650 × 250,650
  4. Step 4: Simplify right side
    163,050x = 62,825,422,500
  5. Step 5: Solve for x
    x = 62,825,422,500/163,050
  6. Step 6: Final answer
    x = 385,313.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.