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Finding the Third Proportional to 255,220.88 and 346,821.75

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Solution

The third proportional to 255,220.88 and 346,821.75 is: 471,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220.88 : 346,821.75 = 346,821.75 : x
  2. Step 2: Convert to fraction form
    255,220.88/346,821.75 = 346,821.75/x
  3. Step 3: Cross multiply
    255,220.88x = 346,821.75 × 346,821.75
  4. Step 4: Simplify right side
    255,220.88x = 120,285,326,273.06
  5. Step 5: Solve for x
    x = 120,285,326,273.06/255,220.88
  6. Step 6: Final answer
    x = 471,298.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.