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Finding the Third Proportional to 128,864.25 and 266,567.63

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Solution

The third proportional to 128,864.25 and 266,567.63 is: 551,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,864.25 : 266,567.63 = 266,567.63 : x
  2. Step 2: Convert to fraction form
    128,864.25/266,567.63 = 266,567.63/x
  3. Step 3: Cross multiply
    128,864.25x = 266,567.63 × 266,567.63
  4. Step 4: Simplify right side
    128,864.25x = 71,058,298,698.14
  5. Step 5: Solve for x
    x = 71,058,298,698.14/128,864.25
  6. Step 6: Final answer
    x = 551,419.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.