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Finding the Third Proportional to 255,165.75 and 542,587.50

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Solution

The third proportional to 255,165.75 and 542,587.50 is: 1,153,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,165.75 : 542,587.50 = 542,587.50 : x
  2. Step 2: Convert to fraction form
    255,165.75/542,587.50 = 542,587.50/x
  3. Step 3: Cross multiply
    255,165.75x = 542,587.50 × 542,587.50
  4. Step 4: Simplify right side
    255,165.75x = 294,401,195,156.25
  5. Step 5: Solve for x
    x = 294,401,195,156.25/255,165.75
  6. Step 6: Final answer
    x = 1,153,764.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.