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Finding the Third Proportional to 76,216 and 163,424

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Solution

The third proportional to 76,216 and 163,424 is: 350,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,216 : 163,424 = 163,424 : x
  2. Step 2: Convert to fraction form
    76,216/163,424 = 163,424/x
  3. Step 3: Cross multiply
    76,216x = 163,424 × 163,424
  4. Step 4: Simplify right side
    76,216x = 26,707,403,776
  5. Step 5: Solve for x
    x = 26,707,403,776/76,216
  6. Step 6: Final answer
    x = 350,417.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.