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Finding the Third Proportional to 155,566.50 and 341,265

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Solution

The third proportional to 155,566.50 and 341,265 is: 748,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,566.50 : 341,265 = 341,265 : x
  2. Step 2: Convert to fraction form
    155,566.50/341,265 = 341,265/x
  3. Step 3: Cross multiply
    155,566.50x = 341,265 × 341,265
  4. Step 4: Simplify right side
    155,566.50x = 116,461,800,225
  5. Step 5: Solve for x
    x = 116,461,800,225/155,566.50
  6. Step 6: Final answer
    x = 748,630.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.