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Finding the Third Proportional to 163,128 and 250,816

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Solution

The third proportional to 163,128 and 250,816 is: 385,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,128 : 250,816 = 250,816 : x
  2. Step 2: Convert to fraction form
    163,128/250,816 = 250,816/x
  3. Step 3: Cross multiply
    163,128x = 250,816 × 250,816
  4. Step 4: Simplify right side
    163,128x = 62,908,665,856
  5. Step 5: Solve for x
    x = 62,908,665,856/163,128
  6. Step 6: Final answer
    x = 385,639.90

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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.