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Finding the Third Proportional to 250,865.86 and 357,613.73

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Solution

The third proportional to 250,865.86 and 357,613.73 is: 509,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,865.86 : 357,613.73 = 357,613.73 : x
  2. Step 2: Convert to fraction form
    250,865.86/357,613.73 = 357,613.73/x
  3. Step 3: Cross multiply
    250,865.86x = 357,613.73 × 357,613.73
  4. Step 4: Simplify right side
    250,865.86x = 127,887,583,013.63
  5. Step 5: Solve for x
    x = 127,887,583,013.63/250,865.86
  6. Step 6: Final answer
    x = 509,784.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.