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Finding the Third Proportional to 237,565.50 and 512,265

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Solution

The third proportional to 237,565.50 and 512,265 is: 1,104,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,565.50 : 512,265 = 512,265 : x
  2. Step 2: Convert to fraction form
    237,565.50/512,265 = 512,265/x
  3. Step 3: Cross multiply
    237,565.50x = 512,265 × 512,265
  4. Step 4: Simplify right side
    237,565.50x = 262,415,430,225
  5. Step 5: Solve for x
    x = 262,415,430,225/237,565.50
  6. Step 6: Final answer
    x = 1,104,602.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.