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Finding the Third Proportional to 163,029 and 250,618.50

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Solution

The third proportional to 163,029 and 250,618.50 is: 385,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,029 : 250,618.50 = 250,618.50 : x
  2. Step 2: Convert to fraction form
    163,029/250,618.50 = 250,618.50/x
  3. Step 3: Cross multiply
    163,029x = 250,618.50 × 250,618.50
  4. Step 4: Simplify right side
    163,029x = 62,809,632,542.25
  5. Step 5: Solve for x
    x = 62,809,632,542.25/163,029
  6. Step 6: Final answer
    x = 385,266.62

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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.