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Finding the Third Proportional to 257,710.50 and 387,051.75

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Solution

The third proportional to 257,710.50 and 387,051.75 is: 581,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,710.50 : 387,051.75 = 387,051.75 : x
  2. Step 2: Convert to fraction form
    257,710.50/387,051.75 = 387,051.75/x
  3. Step 3: Cross multiply
    257,710.50x = 387,051.75 × 387,051.75
  4. Step 4: Simplify right side
    257,710.50x = 149,809,057,178.06
  5. Step 5: Solve for x
    x = 149,809,057,178.06/257,710.50
  6. Step 6: Final answer
    x = 581,307.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.