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Finding the Third Proportional to 163,028 and 250,617

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Solution

The third proportional to 163,028 and 250,617 is: 385,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,028 : 250,617 = 250,617 : x
  2. Step 2: Convert to fraction form
    163,028/250,617 = 250,617/x
  3. Step 3: Cross multiply
    163,028x = 250,617 × 250,617
  4. Step 4: Simplify right side
    163,028x = 62,808,880,689
  5. Step 5: Solve for x
    x = 62,808,880,689/163,028
  6. Step 6: Final answer
    x = 385,264.38

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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.