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Finding the Third Proportional to 152,178.75 and 236,742.75

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Solution

The third proportional to 152,178.75 and 236,742.75 is: 368,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,178.75 : 236,742.75 = 236,742.75 : x
  2. Step 2: Convert to fraction form
    152,178.75/236,742.75 = 236,742.75/x
  3. Step 3: Cross multiply
    152,178.75x = 236,742.75 × 236,742.75
  4. Step 4: Simplify right side
    152,178.75x = 56,047,129,677.56
  5. Step 5: Solve for x
    x = 56,047,129,677.56/152,178.75
  6. Step 6: Final answer
    x = 368,298.00

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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.