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Finding the Third Proportional to 157,551.75 and 236,443.50

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Solution

The third proportional to 157,551.75 and 236,443.50 is: 354,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,551.75 : 236,443.50 = 236,443.50 : x
  2. Step 2: Convert to fraction form
    157,551.75/236,443.50 = 236,443.50/x
  3. Step 3: Cross multiply
    157,551.75x = 236,443.50 × 236,443.50
  4. Step 4: Simplify right side
    157,551.75x = 55,905,528,692.25
  5. Step 5: Solve for x
    x = 55,905,528,692.25/157,551.75
  6. Step 6: Final answer
    x = 354,839.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.