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Finding the Third Proportional to 157,706.50 and 236,325.50

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Solution

The third proportional to 157,706.50 and 236,325.50 is: 354,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,706.50 : 236,325.50 = 236,325.50 : x
  2. Step 2: Convert to fraction form
    157,706.50/236,325.50 = 236,325.50/x
  3. Step 3: Cross multiply
    157,706.50x = 236,325.50 × 236,325.50
  4. Step 4: Simplify right side
    157,706.50x = 55,849,741,950.25
  5. Step 5: Solve for x
    x = 55,849,741,950.25/157,706.50
  6. Step 6: Final answer
    x = 354,137.22

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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.