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Finding the Third Proportional to 255,223.41 and 376,998.05

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Solution

The third proportional to 255,223.41 and 376,998.05 is: 556,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,223.41 : 376,998.05 = 376,998.05 : x
  2. Step 2: Convert to fraction form
    255,223.41/376,998.05 = 376,998.05/x
  3. Step 3: Cross multiply
    255,223.41x = 376,998.05 × 376,998.05
  4. Step 4: Simplify right side
    255,223.41x = 142,127,527,347.57
  5. Step 5: Solve for x
    x = 142,127,527,347.57/255,223.41
  6. Step 6: Final answer
    x = 556,874.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.