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Finding the Third Proportional to 163,130 and 250,819

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Solution

The third proportional to 163,130 and 250,819 is: 385,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,130 : 250,819 = 250,819 : x
  2. Step 2: Convert to fraction form
    163,130/250,819 = 250,819/x
  3. Step 3: Cross multiply
    163,130x = 250,819 × 250,819
  4. Step 4: Simplify right side
    163,130x = 62,910,170,761
  5. Step 5: Solve for x
    x = 62,910,170,761/163,130
  6. Step 6: Final answer
    x = 385,644.40

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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.