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Finding the Third Proportional to 250,425 and 375,565.50

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Solution

The third proportional to 250,425 and 375,565.50 is: 563,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,425 : 375,565.50 = 375,565.50 : x
  2. Step 2: Convert to fraction form
    250,425/375,565.50 = 375,565.50/x
  3. Step 3: Cross multiply
    250,425x = 375,565.50 × 375,565.50
  4. Step 4: Simplify right side
    250,425x = 141,049,444,790.25
  5. Step 5: Solve for x
    x = 141,049,444,790.25/250,425
  6. Step 6: Final answer
    x = 563,240.27

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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.