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Finding the Third Proportional to 154,233 and 233,293.88

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Solution

The third proportional to 154,233 and 233,293.88 is: 352,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,233 : 233,293.88 = 233,293.88 : x
  2. Step 2: Convert to fraction form
    154,233/233,293.88 = 233,293.88/x
  3. Step 3: Cross multiply
    154,233x = 233,293.88 × 233,293.88
  4. Step 4: Simplify right side
    154,233x = 54,426,032,112.52
  5. Step 5: Solve for x
    x = 54,426,032,112.52/154,233
  6. Step 6: Final answer
    x = 352,881.89

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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.