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Finding the Third Proportional to 154,259 and 233,032.25

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Solution

The third proportional to 154,259 and 233,032.25 is: 352,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,259 : 233,032.25 = 233,032.25 : x
  2. Step 2: Convert to fraction form
    154,259/233,032.25 = 233,032.25/x
  3. Step 3: Cross multiply
    154,259x = 233,032.25 × 233,032.25
  4. Step 4: Simplify right side
    154,259x = 54,304,029,540.06
  5. Step 5: Solve for x
    x = 54,304,029,540.06/154,259
  6. Step 6: Final answer
    x = 352,031.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.