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Finding the Third Proportional to 255,019.50 and 375,477.75

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Solution

The third proportional to 255,019.50 and 375,477.75 is: 552,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,019.50 : 375,477.75 = 375,477.75 : x
  2. Step 2: Convert to fraction form
    255,019.50/375,477.75 = 375,477.75/x
  3. Step 3: Cross multiply
    255,019.50x = 375,477.75 × 375,477.75
  4. Step 4: Simplify right side
    255,019.50x = 140,983,540,745.06
  5. Step 5: Solve for x
    x = 140,983,540,745.06/255,019.50
  6. Step 6: Final answer
    x = 552,834.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.