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Finding the Third Proportional to 255,244.50 and 375,495.75

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Solution

The third proportional to 255,244.50 and 375,495.75 is: 552,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,244.50 : 375,495.75 = 375,495.75 : x
  2. Step 2: Convert to fraction form
    255,244.50/375,495.75 = 375,495.75/x
  3. Step 3: Cross multiply
    255,244.50x = 375,495.75 × 375,495.75
  4. Step 4: Simplify right side
    255,244.50x = 140,997,058,268.06
  5. Step 5: Solve for x
    x = 140,997,058,268.06/255,244.50
  6. Step 6: Final answer
    x = 552,399.99

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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.