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Finding the Third Proportional to 123,463 and 270,518.50

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Solution

The third proportional to 123,463 and 270,518.50 is: 592,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,463 : 270,518.50 = 270,518.50 : x
  2. Step 2: Convert to fraction form
    123,463/270,518.50 = 270,518.50/x
  3. Step 3: Cross multiply
    123,463x = 270,518.50 × 270,518.50
  4. Step 4: Simplify right side
    123,463x = 73,180,258,842.25
  5. Step 5: Solve for x
    x = 73,180,258,842.25/123,463
  6. Step 6: Final answer
    x = 592,730.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.