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Finding the Third Proportional to 147,810 and 325,143

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Solution

The third proportional to 147,810 and 325,143 is: 715,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,810 : 325,143 = 325,143 : x
  2. Step 2: Convert to fraction form
    147,810/325,143 = 325,143/x
  3. Step 3: Cross multiply
    147,810x = 325,143 × 325,143
  4. Step 4: Simplify right side
    147,810x = 105,717,970,449
  5. Step 5: Solve for x
    x = 105,717,970,449/147,810
  6. Step 6: Final answer
    x = 715,228.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.