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Finding the Third Proportional to 248,109 and 302,541

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Solution

The third proportional to 248,109 and 302,541 is: 368,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,109 : 302,541 = 302,541 : x
  2. Step 2: Convert to fraction form
    248,109/302,541 = 302,541/x
  3. Step 3: Cross multiply
    248,109x = 302,541 × 302,541
  4. Step 4: Simplify right side
    248,109x = 91,531,056,681
  5. Step 5: Solve for x
    x = 91,531,056,681/248,109
  6. Step 6: Final answer
    x = 368,914.70

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.