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Finding the Third Proportional to 155,440.50 and 228,057

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Solution

The third proportional to 155,440.50 and 228,057 is: 334,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,440.50 : 228,057 = 228,057 : x
  2. Step 2: Convert to fraction form
    155,440.50/228,057 = 228,057/x
  3. Step 3: Cross multiply
    155,440.50x = 228,057 × 228,057
  4. Step 4: Simplify right side
    155,440.50x = 52,009,995,249
  5. Step 5: Solve for x
    x = 52,009,995,249/155,440.50
  6. Step 6: Final answer
    x = 334,597.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.