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Finding the Third Proportional to 123,358.50 and 263,565

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Solution

The third proportional to 123,358.50 and 263,565 is: 563,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,358.50 : 263,565 = 263,565 : x
  2. Step 2: Convert to fraction form
    123,358.50/263,565 = 263,565/x
  3. Step 3: Cross multiply
    123,358.50x = 263,565 × 263,565
  4. Step 4: Simplify right side
    123,358.50x = 69,466,509,225
  5. Step 5: Solve for x
    x = 69,466,509,225/123,358.50
  6. Step 6: Final answer
    x = 563,127.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.