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Finding the Third Proportional to 154,062 and 233,188.88

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Solution

The third proportional to 154,062 and 233,188.88 is: 352,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,062 : 233,188.88 = 233,188.88 : x
  2. Step 2: Convert to fraction form
    154,062/233,188.88 = 233,188.88/x
  3. Step 3: Cross multiply
    154,062x = 233,188.88 × 233,188.88
  4. Step 4: Simplify right side
    154,062x = 54,377,051,423.77
  5. Step 5: Solve for x
    x = 54,377,051,423.77/154,062
  6. Step 6: Final answer
    x = 352,955.64

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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.