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Finding the Third Proportional to 152,820.75 and 236,156.25

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Solution

The third proportional to 152,820.75 and 236,156.25 is: 364,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,820.75 : 236,156.25 = 236,156.25 : x
  2. Step 2: Convert to fraction form
    152,820.75/236,156.25 = 236,156.25/x
  3. Step 3: Cross multiply
    152,820.75x = 236,156.25 × 236,156.25
  4. Step 4: Simplify right side
    152,820.75x = 55,769,774,414.06
  5. Step 5: Solve for x
    x = 55,769,774,414.06/152,820.75
  6. Step 6: Final answer
    x = 364,935.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.