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Finding the Third Proportional to 170,428 and 233,772

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Solution

The third proportional to 170,428 and 233,772 is: 320,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,428 : 233,772 = 233,772 : x
  2. Step 2: Convert to fraction form
    170,428/233,772 = 233,772/x
  3. Step 3: Cross multiply
    170,428x = 233,772 × 233,772
  4. Step 4: Simplify right side
    170,428x = 54,649,347,984
  5. Step 5: Solve for x
    x = 54,649,347,984/170,428
  6. Step 6: Final answer
    x = 320,659.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.