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Finding the Third Proportional to 155,265.75 and 229,515.19

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Solution

The third proportional to 155,265.75 and 229,515.19 is: 339,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,265.75 : 229,515.19 = 229,515.19 : x
  2. Step 2: Convert to fraction form
    155,265.75/229,515.19 = 229,515.19/x
  3. Step 3: Cross multiply
    155,265.75x = 229,515.19 × 229,515.19
  4. Step 4: Simplify right side
    155,265.75x = 52,677,221,293.16
  5. Step 5: Solve for x
    x = 52,677,221,293.16/155,265.75
  6. Step 6: Final answer
    x = 339,271.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.