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Finding the Third Proportional to 128,385 and 253,307.25

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Solution

The third proportional to 128,385 and 253,307.25 is: 499,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,385 : 253,307.25 = 253,307.25 : x
  2. Step 2: Convert to fraction form
    128,385/253,307.25 = 253,307.25/x
  3. Step 3: Cross multiply
    128,385x = 253,307.25 × 253,307.25
  4. Step 4: Simplify right side
    128,385x = 64,164,562,902.56
  5. Step 5: Solve for x
    x = 64,164,562,902.56/128,385
  6. Step 6: Final answer
    x = 499,782.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.