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Finding the Third Proportional to 157,603.50 and 236,567.25

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Solution

The third proportional to 157,603.50 and 236,567.25 is: 355,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,603.50 : 236,567.25 = 236,567.25 : x
  2. Step 2: Convert to fraction form
    157,603.50/236,567.25 = 236,567.25/x
  3. Step 3: Cross multiply
    157,603.50x = 236,567.25 × 236,567.25
  4. Step 4: Simplify right side
    157,603.50x = 55,964,063,772.56
  5. Step 5: Solve for x
    x = 55,964,063,772.56/157,603.50
  6. Step 6: Final answer
    x = 355,094.04

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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.