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Finding the Third Proportional to 157,909.50 and 228,570

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Solution

The third proportional to 157,909.50 and 228,570 is: 330,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.50 : 228,570 = 228,570 : x
  2. Step 2: Convert to fraction form
    157,909.50/228,570 = 228,570/x
  3. Step 3: Cross multiply
    157,909.50x = 228,570 × 228,570
  4. Step 4: Simplify right side
    157,909.50x = 52,244,244,900
  5. Step 5: Solve for x
    x = 52,244,244,900/157,909.50
  6. Step 6: Final answer
    x = 330,849.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.