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Finding the Third Proportional to 154,275.75 and 233,058.38

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Solution

The third proportional to 154,275.75 and 233,058.38 is: 352,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,275.75 : 233,058.38 = 233,058.38 : x
  2. Step 2: Convert to fraction form
    154,275.75/233,058.38 = 233,058.38/x
  3. Step 3: Cross multiply
    154,275.75x = 233,058.38 × 233,058.38
  4. Step 4: Simplify right side
    154,275.75x = 54,316,206,157.64
  5. Step 5: Solve for x
    x = 54,316,206,157.64/154,275.75
  6. Step 6: Final answer
    x = 352,072.22

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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.