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Finding the Third Proportional to 255,241.13 and 550,265.91

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Solution

The third proportional to 255,241.13 and 550,265.91 is: 1,186,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,241.13 : 550,265.91 = 550,265.91 : x
  2. Step 2: Convert to fraction form
    255,241.13/550,265.91 = 550,265.91/x
  3. Step 3: Cross multiply
    255,241.13x = 550,265.91 × 550,265.91
  4. Step 4: Simplify right side
    255,241.13x = 302,792,567,581.13
  5. Step 5: Solve for x
    x = 302,792,567,581.13/255,241.13
  6. Step 6: Final answer
    x = 1,186,300.08

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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.