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Finding the Third Proportional to 146,075.06 and 228,339

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Solution

The third proportional to 146,075.06 and 228,339 is: 356,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,075.06 : 228,339 = 228,339 : x
  2. Step 2: Convert to fraction form
    146,075.06/228,339 = 228,339/x
  3. Step 3: Cross multiply
    146,075.06x = 228,339 × 228,339
  4. Step 4: Simplify right side
    146,075.06x = 52,138,698,921
  5. Step 5: Solve for x
    x = 52,138,698,921/146,075.06
  6. Step 6: Final answer
    x = 356,930.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.