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Finding the Third Proportional to 152,088.25 and 236,728.25

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Solution

The third proportional to 152,088.25 and 236,728.25 is: 368,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,088.25 : 236,728.25 = 236,728.25 : x
  2. Step 2: Convert to fraction form
    152,088.25/236,728.25 = 236,728.25/x
  3. Step 3: Cross multiply
    152,088.25x = 236,728.25 × 236,728.25
  4. Step 4: Simplify right side
    152,088.25x = 56,040,264,348.06
  5. Step 5: Solve for x
    x = 56,040,264,348.06/152,088.25
  6. Step 6: Final answer
    x = 368,472.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.