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Finding the Third Proportional to 123,030 and 268,294.50

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Solution

The third proportional to 123,030 and 268,294.50 is: 585,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,030 : 268,294.50 = 268,294.50 : x
  2. Step 2: Convert to fraction form
    123,030/268,294.50 = 268,294.50/x
  3. Step 3: Cross multiply
    123,030x = 268,294.50 × 268,294.50
  4. Step 4: Simplify right side
    123,030x = 71,981,938,730.25
  5. Step 5: Solve for x
    x = 71,981,938,730.25/123,030
  6. Step 6: Final answer
    x = 585,076.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.