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Finding the Third Proportional to 124,365.25 and 266,474.25

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Solution

The third proportional to 124,365.25 and 266,474.25 is: 570,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,365.25 : 266,474.25 = 266,474.25 : x
  2. Step 2: Convert to fraction form
    124,365.25/266,474.25 = 266,474.25/x
  3. Step 3: Cross multiply
    124,365.25x = 266,474.25 × 266,474.25
  4. Step 4: Simplify right side
    124,365.25x = 71,008,525,913.06
  5. Step 5: Solve for x
    x = 71,008,525,913.06/124,365.25
  6. Step 6: Final answer
    x = 570,967.58

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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.