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Finding the Third Proportional to 125,853.75 and 245,328.75

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Solution

The third proportional to 125,853.75 and 245,328.75 is: 478,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,853.75 : 245,328.75 = 245,328.75 : x
  2. Step 2: Convert to fraction form
    125,853.75/245,328.75 = 245,328.75/x
  3. Step 3: Cross multiply
    125,853.75x = 245,328.75 × 245,328.75
  4. Step 4: Simplify right side
    125,853.75x = 60,186,195,576.56
  5. Step 5: Solve for x
    x = 60,186,195,576.56/125,853.75
  6. Step 6: Final answer
    x = 478,223.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.